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Finding the Third Proportional to 220,251 and 466,260

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Solution

The third proportional to 220,251 and 466,260 is: 987,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,251 : 466,260 = 466,260 : x
  2. Step 2: Convert to fraction form
    220,251/466,260 = 466,260/x
  3. Step 3: Cross multiply
    220,251x = 466,260 × 466,260
  4. Step 4: Simplify right side
    220,251x = 217,398,387,600
  5. Step 5: Solve for x
    x = 217,398,387,600/220,251
  6. Step 6: Final answer
    x = 987,048.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.