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Finding the Third Proportional to 136,120.50 and 295,859.25

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Solution

The third proportional to 136,120.50 and 295,859.25 is: 643,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,120.50 : 295,859.25 = 295,859.25 : x
  2. Step 2: Convert to fraction form
    136,120.50/295,859.25 = 295,859.25/x
  3. Step 3: Cross multiply
    136,120.50x = 295,859.25 × 295,859.25
  4. Step 4: Simplify right side
    136,120.50x = 87,532,695,810.56
  5. Step 5: Solve for x
    x = 87,532,695,810.56/136,120.50
  6. Step 6: Final answer
    x = 643,053.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.