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Finding the Third Proportional to 102,365 and 221,496

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Solution

The third proportional to 102,365 and 221,496 is: 479,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365 : 221,496 = 221,496 : x
  2. Step 2: Convert to fraction form
    102,365/221,496 = 221,496/x
  3. Step 3: Cross multiply
    102,365x = 221,496 × 221,496
  4. Step 4: Simplify right side
    102,365x = 49,060,478,016
  5. Step 5: Solve for x
    x = 49,060,478,016/102,365
  6. Step 6: Final answer
    x = 479,270.04

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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.