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Finding the Third Proportional to 121,799.50 and 265,731.50

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Solution

The third proportional to 121,799.50 and 265,731.50 is: 579,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,799.50 : 265,731.50 = 265,731.50 : x
  2. Step 2: Convert to fraction form
    121,799.50/265,731.50 = 265,731.50/x
  3. Step 3: Cross multiply
    121,799.50x = 265,731.50 × 265,731.50
  4. Step 4: Simplify right side
    121,799.50x = 70,613,230,092.25
  5. Step 5: Solve for x
    x = 70,613,230,092.25/121,799.50
  6. Step 6: Final answer
    x = 579,749.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.