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Finding the Third Proportional to 187,348 and 281,026

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Solution

The third proportional to 187,348 and 281,026 is: 421,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,348 : 281,026 = 281,026 : x
  2. Step 2: Convert to fraction form
    187,348/281,026 = 281,026/x
  3. Step 3: Cross multiply
    187,348x = 281,026 × 281,026
  4. Step 4: Simplify right side
    187,348x = 78,975,612,676
  5. Step 5: Solve for x
    x = 78,975,612,676/187,348
  6. Step 6: Final answer
    x = 421,545.00

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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.