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Finding the Third Proportional to 187,340 and 281,017

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Solution

The third proportional to 187,340 and 281,017 is: 421,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,340 : 281,017 = 281,017 : x
  2. Step 2: Convert to fraction form
    187,340/281,017 = 281,017/x
  3. Step 3: Cross multiply
    187,340x = 281,017 × 281,017
  4. Step 4: Simplify right side
    187,340x = 78,970,554,289
  5. Step 5: Solve for x
    x = 78,970,554,289/187,340
  6. Step 6: Final answer
    x = 421,536.00

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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.