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Finding the Third Proportional to 111,569 and 245,251

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Solution

The third proportional to 111,569 and 245,251 is: 539,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,569 : 245,251 = 245,251 : x
  2. Step 2: Convert to fraction form
    111,569/245,251 = 245,251/x
  3. Step 3: Cross multiply
    111,569x = 245,251 × 245,251
  4. Step 4: Simplify right side
    111,569x = 60,148,053,001
  5. Step 5: Solve for x
    x = 60,148,053,001/111,569
  6. Step 6: Final answer
    x = 539,110.80

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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.