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Finding the Third Proportional to 129,550 and 281,230

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Solution

The third proportional to 129,550 and 281,230 is: 610,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,550 : 281,230 = 281,230 : x
  2. Step 2: Convert to fraction form
    129,550/281,230 = 281,230/x
  3. Step 3: Cross multiply
    129,550x = 281,230 × 281,230
  4. Step 4: Simplify right side
    129,550x = 79,090,312,900
  5. Step 5: Solve for x
    x = 79,090,312,900/129,550
  6. Step 6: Final answer
    x = 610,500.29

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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.