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Finding the Third Proportional to 115,204 and 252,550

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Solution

The third proportional to 115,204 and 252,550 is: 553,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,204 : 252,550 = 252,550 : x
  2. Step 2: Convert to fraction form
    115,204/252,550 = 252,550/x
  3. Step 3: Cross multiply
    115,204x = 252,550 × 252,550
  4. Step 4: Simplify right side
    115,204x = 63,781,502,500
  5. Step 5: Solve for x
    x = 63,781,502,500/115,204
  6. Step 6: Final answer
    x = 553,639.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.