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Finding the Third Proportional to 187,400 and 298,051

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Solution

The third proportional to 187,400 and 298,051 is: 474,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,400 : 298,051 = 298,051 : x
  2. Step 2: Convert to fraction form
    187,400/298,051 = 298,051/x
  3. Step 3: Cross multiply
    187,400x = 298,051 × 298,051
  4. Step 4: Simplify right side
    187,400x = 88,834,398,601
  5. Step 5: Solve for x
    x = 88,834,398,601/187,400
  6. Step 6: Final answer
    x = 474,036.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.