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Finding the Third Proportional to 187,339 and 281,013

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Solution

The third proportional to 187,339 and 281,013 is: 421,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,339 : 281,013 = 281,013 : x
  2. Step 2: Convert to fraction form
    187,339/281,013 = 281,013/x
  3. Step 3: Cross multiply
    187,339x = 281,013 × 281,013
  4. Step 4: Simplify right side
    187,339x = 78,968,306,169
  5. Step 5: Solve for x
    x = 78,968,306,169/187,339
  6. Step 6: Final answer
    x = 421,526.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.