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Finding the Third Proportional to 186,332 and 402,169

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Solution

The third proportional to 186,332 and 402,169 is: 868,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,332 : 402,169 = 402,169 : x
  2. Step 2: Convert to fraction form
    186,332/402,169 = 402,169/x
  3. Step 3: Cross multiply
    186,332x = 402,169 × 402,169
  4. Step 4: Simplify right side
    186,332x = 161,739,904,561
  5. Step 5: Solve for x
    x = 161,739,904,561/186,332
  6. Step 6: Final answer
    x = 868,020.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.