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Finding the Third Proportional to 104,272 and 223,304

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Solution

The third proportional to 104,272 and 223,304 is: 478,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,272 : 223,304 = 223,304 : x
  2. Step 2: Convert to fraction form
    104,272/223,304 = 223,304/x
  3. Step 3: Cross multiply
    104,272x = 223,304 × 223,304
  4. Step 4: Simplify right side
    104,272x = 49,864,676,416
  5. Step 5: Solve for x
    x = 49,864,676,416/104,272
  6. Step 6: Final answer
    x = 478,217.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.