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Finding the Third Proportional to 187,596 and 281,070

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Solution

The third proportional to 187,596 and 281,070 is: 421,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,596 : 281,070 = 281,070 : x
  2. Step 2: Convert to fraction form
    187,596/281,070 = 281,070/x
  3. Step 3: Cross multiply
    187,596x = 281,070 × 281,070
  4. Step 4: Simplify right side
    187,596x = 79,000,344,900
  5. Step 5: Solve for x
    x = 79,000,344,900/187,596
  6. Step 6: Final answer
    x = 421,119.56

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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.