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Finding the Third Proportional to 119,442 and 180,507

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Solution

The third proportional to 119,442 and 180,507 is: 272,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,442 : 180,507 = 180,507 : x
  2. Step 2: Convert to fraction form
    119,442/180,507 = 180,507/x
  3. Step 3: Cross multiply
    119,442x = 180,507 × 180,507
  4. Step 4: Simplify right side
    119,442x = 32,582,777,049
  5. Step 5: Solve for x
    x = 32,582,777,049/119,442
  6. Step 6: Final answer
    x = 272,791.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.