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Finding the Third Proportional to 187,650 and 382,938

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Solution

The third proportional to 187,650 and 382,938 is: 781,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,650 : 382,938 = 382,938 : x
  2. Step 2: Convert to fraction form
    187,650/382,938 = 382,938/x
  3. Step 3: Cross multiply
    187,650x = 382,938 × 382,938
  4. Step 4: Simplify right side
    187,650x = 146,641,511,844
  5. Step 5: Solve for x
    x = 146,641,511,844/187,650
  6. Step 6: Final answer
    x = 781,462.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.