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Finding the Third Proportional to 186,581 and 402,646

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Solution

The third proportional to 186,581 and 402,646 is: 868,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,581 : 402,646 = 402,646 : x
  2. Step 2: Convert to fraction form
    186,581/402,646 = 402,646/x
  3. Step 3: Cross multiply
    186,581x = 402,646 × 402,646
  4. Step 4: Simplify right side
    186,581x = 162,123,801,316
  5. Step 5: Solve for x
    x = 162,123,801,316/186,581
  6. Step 6: Final answer
    x = 868,919.14

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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.