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Finding the Third Proportional to 129,343 and 281,468

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Solution

The third proportional to 129,343 and 281,468 is: 612,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,343 : 281,468 = 281,468 : x
  2. Step 2: Convert to fraction form
    129,343/281,468 = 281,468/x
  3. Step 3: Cross multiply
    129,343x = 281,468 × 281,468
  4. Step 4: Simplify right side
    129,343x = 79,224,235,024
  5. Step 5: Solve for x
    x = 79,224,235,024/129,343
  6. Step 6: Final answer
    x = 612,512.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.