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Finding the Third Proportional to 121,229 and 265,030

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Solution

The third proportional to 121,229 and 265,030 is: 579,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,229 : 265,030 = 265,030 : x
  2. Step 2: Convert to fraction form
    121,229/265,030 = 265,030/x
  3. Step 3: Cross multiply
    121,229x = 265,030 × 265,030
  4. Step 4: Simplify right side
    121,229x = 70,240,900,900
  5. Step 5: Solve for x
    x = 70,240,900,900/121,229
  6. Step 6: Final answer
    x = 579,406.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.