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Finding the Third Proportional to 131,003 and 280,681

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Solution

The third proportional to 131,003 and 280,681 is: 601,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,003 : 280,681 = 280,681 : x
  2. Step 2: Convert to fraction form
    131,003/280,681 = 280,681/x
  3. Step 3: Cross multiply
    131,003x = 280,681 × 280,681
  4. Step 4: Simplify right side
    131,003x = 78,781,823,761
  5. Step 5: Solve for x
    x = 78,781,823,761/131,003
  6. Step 6: Final answer
    x = 601,374.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.