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Finding the Third Proportional to 135,650 and 207,507

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Solution

The third proportional to 135,650 and 207,507 is: 317,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,650 : 207,507 = 207,507 : x
  2. Step 2: Convert to fraction form
    135,650/207,507 = 207,507/x
  3. Step 3: Cross multiply
    135,650x = 207,507 × 207,507
  4. Step 4: Simplify right side
    135,650x = 43,059,155,049
  5. Step 5: Solve for x
    x = 43,059,155,049/135,650
  6. Step 6: Final answer
    x = 317,428.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.