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Finding the Third Proportional to 186,585 and 402,654

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Solution

The third proportional to 186,585 and 402,654 is: 868,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,585 : 402,654 = 402,654 : x
  2. Step 2: Convert to fraction form
    186,585/402,654 = 402,654/x
  3. Step 3: Cross multiply
    186,585x = 402,654 × 402,654
  4. Step 4: Simplify right side
    186,585x = 162,130,243,716
  5. Step 5: Solve for x
    x = 162,130,243,716/186,585
  6. Step 6: Final answer
    x = 868,935.04

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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.