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Finding the Third Proportional to 186,586 and 402,655

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Solution

The third proportional to 186,586 and 402,655 is: 868,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,586 : 402,655 = 402,655 : x
  2. Step 2: Convert to fraction form
    186,586/402,655 = 402,655/x
  3. Step 3: Cross multiply
    186,586x = 402,655 × 402,655
  4. Step 4: Simplify right side
    186,586x = 162,131,049,025
  5. Step 5: Solve for x
    x = 162,131,049,025/186,586
  6. Step 6: Final answer
    x = 868,934.70

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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.