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Finding the Third Proportional to 187,358 and 281,041

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Solution

The third proportional to 187,358 and 281,041 is: 421,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,358 : 281,041 = 281,041 : x
  2. Step 2: Convert to fraction form
    187,358/281,041 = 281,041/x
  3. Step 3: Cross multiply
    187,358x = 281,041 × 281,041
  4. Step 4: Simplify right side
    187,358x = 78,984,043,681
  5. Step 5: Solve for x
    x = 78,984,043,681/187,358
  6. Step 6: Final answer
    x = 421,567.50

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Why These Related Problems?

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