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Finding the Third Proportional to 186,332 and 290,566

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Solution

The third proportional to 186,332 and 290,566 is: 453,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,332 : 290,566 = 290,566 : x
  2. Step 2: Convert to fraction form
    186,332/290,566 = 290,566/x
  3. Step 3: Cross multiply
    186,332x = 290,566 × 290,566
  4. Step 4: Simplify right side
    186,332x = 84,428,600,356
  5. Step 5: Solve for x
    x = 84,428,600,356/186,332
  6. Step 6: Final answer
    x = 453,108.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.