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Finding the Third Proportional to 186,416 and 296,472

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Solution

The third proportional to 186,416 and 296,472 is: 471,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,416 : 296,472 = 296,472 : x
  2. Step 2: Convert to fraction form
    186,416/296,472 = 296,472/x
  3. Step 3: Cross multiply
    186,416x = 296,472 × 296,472
  4. Step 4: Simplify right side
    186,416x = 87,895,646,784
  5. Step 5: Solve for x
    x = 87,895,646,784/186,416
  6. Step 6: Final answer
    x = 471,502.70

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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.