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Finding the Third Proportional to 102,441 and 221,727

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Solution

The third proportional to 102,441 and 221,727 is: 479,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,441 : 221,727 = 221,727 : x
  2. Step 2: Convert to fraction form
    102,441/221,727 = 221,727/x
  3. Step 3: Cross multiply
    102,441x = 221,727 × 221,727
  4. Step 4: Simplify right side
    102,441x = 49,162,862,529
  5. Step 5: Solve for x
    x = 49,162,862,529/102,441
  6. Step 6: Final answer
    x = 479,913.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.