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Finding the Third Proportional to 187,598 and 281,073

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Solution

The third proportional to 187,598 and 281,073 is: 421,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,598 : 281,073 = 281,073 : x
  2. Step 2: Convert to fraction form
    187,598/281,073 = 281,073/x
  3. Step 3: Cross multiply
    187,598x = 281,073 × 281,073
  4. Step 4: Simplify right side
    187,598x = 79,002,031,329
  5. Step 5: Solve for x
    x = 79,002,031,329/187,598
  6. Step 6: Final answer
    x = 421,124.06

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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.