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Finding the Third Proportional to 129,646 and 281,424

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Solution

The third proportional to 129,646 and 281,424 is: 610,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,646 : 281,424 = 281,424 : x
  2. Step 2: Convert to fraction form
    129,646/281,424 = 281,424/x
  3. Step 3: Cross multiply
    129,646x = 281,424 × 281,424
  4. Step 4: Simplify right side
    129,646x = 79,199,467,776
  5. Step 5: Solve for x
    x = 79,199,467,776/129,646
  6. Step 6: Final answer
    x = 610,890.18

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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.