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Finding the Third Proportional to 129,641 and 281,412

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Solution

The third proportional to 129,641 and 281,412 is: 610,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,641 : 281,412 = 281,412 : x
  2. Step 2: Convert to fraction form
    129,641/281,412 = 281,412/x
  3. Step 3: Cross multiply
    129,641x = 281,412 × 281,412
  4. Step 4: Simplify right side
    129,641x = 79,192,713,744
  5. Step 5: Solve for x
    x = 79,192,713,744/129,641
  6. Step 6: Final answer
    x = 610,861.64

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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.