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Finding the Third Proportional to 101,250 and 221,565.38

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Solution

The third proportional to 101,250 and 221,565.38 is: 484,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,250 : 221,565.38 = 221,565.38 : x
  2. Step 2: Convert to fraction form
    101,250/221,565.38 = 221,565.38/x
  3. Step 3: Cross multiply
    101,250x = 221,565.38 × 221,565.38
  4. Step 4: Simplify right side
    101,250x = 49,091,215,398.89
  5. Step 5: Solve for x
    x = 49,091,215,398.89/101,250
  6. Step 6: Final answer
    x = 484,851.51

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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.