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Finding the Third Proportional to 102,366 and 221,497

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Solution

The third proportional to 102,366 and 221,497 is: 479,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,366 : 221,497 = 221,497 : x
  2. Step 2: Convert to fraction form
    102,366/221,497 = 221,497/x
  3. Step 3: Cross multiply
    102,366x = 221,497 × 221,497
  4. Step 4: Simplify right side
    102,366x = 49,060,921,009
  5. Step 5: Solve for x
    x = 49,060,921,009/102,366
  6. Step 6: Final answer
    x = 479,269.69

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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.