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Finding the Third Proportional to 186,418 and 296,475

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Solution

The third proportional to 186,418 and 296,475 is: 471,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,418 : 296,475 = 296,475 : x
  2. Step 2: Convert to fraction form
    186,418/296,475 = 296,475/x
  3. Step 3: Cross multiply
    186,418x = 296,475 × 296,475
  4. Step 4: Simplify right side
    186,418x = 87,897,425,625
  5. Step 5: Solve for x
    x = 87,897,425,625/186,418
  6. Step 6: Final answer
    x = 471,507.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.