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Finding the Third Proportional to 129,024 and 283,536

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Solution

The third proportional to 129,024 and 283,536 is: 623,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,024 : 283,536 = 283,536 : x
  2. Step 2: Convert to fraction form
    129,024/283,536 = 283,536/x
  3. Step 3: Cross multiply
    129,024x = 283,536 × 283,536
  4. Step 4: Simplify right side
    129,024x = 80,392,663,296
  5. Step 5: Solve for x
    x = 80,392,663,296/129,024
  6. Step 6: Final answer
    x = 623,083.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.