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Finding the Third Proportional to 106,304 and 223,624

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Solution

The third proportional to 106,304 and 223,624 is: 470,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,304 : 223,624 = 223,624 : x
  2. Step 2: Convert to fraction form
    106,304/223,624 = 223,624/x
  3. Step 3: Cross multiply
    106,304x = 223,624 × 223,624
  4. Step 4: Simplify right side
    106,304x = 50,007,693,376
  5. Step 5: Solve for x
    x = 50,007,693,376/106,304
  6. Step 6: Final answer
    x = 470,421.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.