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Finding the Third Proportional to 186,631 and 283,402

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Solution

The third proportional to 186,631 and 283,402 is: 430,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,631 : 283,402 = 283,402 : x
  2. Step 2: Convert to fraction form
    186,631/283,402 = 283,402/x
  3. Step 3: Cross multiply
    186,631x = 283,402 × 283,402
  4. Step 4: Simplify right side
    186,631x = 80,316,693,604
  5. Step 5: Solve for x
    x = 80,316,693,604/186,631
  6. Step 6: Final answer
    x = 430,350.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.