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Finding the Third Proportional to 103,464 and 220,496

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Solution

The third proportional to 103,464 and 220,496 is: 469,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464 : 220,496 = 220,496 : x
  2. Step 2: Convert to fraction form
    103,464/220,496 = 220,496/x
  3. Step 3: Cross multiply
    103,464x = 220,496 × 220,496
  4. Step 4: Simplify right side
    103,464x = 48,618,486,016
  5. Step 5: Solve for x
    x = 48,618,486,016/103,464
  6. Step 6: Final answer
    x = 469,907.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.