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Finding the Third Proportional to 101,237 and 221,540

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Solution

The third proportional to 101,237 and 221,540 is: 484,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,237 : 221,540 = 221,540 : x
  2. Step 2: Convert to fraction form
    101,237/221,540 = 221,540/x
  3. Step 3: Cross multiply
    101,237x = 221,540 × 221,540
  4. Step 4: Simplify right side
    101,237x = 49,079,971,600
  5. Step 5: Solve for x
    x = 49,079,971,600/101,237
  6. Step 6: Final answer
    x = 484,802.71

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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.