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Finding the Third Proportional to 84,940 and 185,432

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Solution

The third proportional to 84,940 and 185,432 is: 404,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,940 : 185,432 = 185,432 : x
  2. Step 2: Convert to fraction form
    84,940/185,432 = 185,432/x
  3. Step 3: Cross multiply
    84,940x = 185,432 × 185,432
  4. Step 4: Simplify right side
    84,940x = 34,385,026,624
  5. Step 5: Solve for x
    x = 34,385,026,624/84,940
  6. Step 6: Final answer
    x = 404,815.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.