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Finding the Third Proportional to 129,734 and 281,614

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Solution

The third proportional to 129,734 and 281,614 is: 611,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,734 : 281,614 = 281,614 : x
  2. Step 2: Convert to fraction form
    129,734/281,614 = 281,614/x
  3. Step 3: Cross multiply
    129,734x = 281,614 × 281,614
  4. Step 4: Simplify right side
    129,734x = 79,306,444,996
  5. Step 5: Solve for x
    x = 79,306,444,996/129,734
  6. Step 6: Final answer
    x = 611,300.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.