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Finding the Third Proportional to 123,304 and 229,112

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Solution

The third proportional to 123,304 and 229,112 is: 425,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,304 : 229,112 = 229,112 : x
  2. Step 2: Convert to fraction form
    123,304/229,112 = 229,112/x
  3. Step 3: Cross multiply
    123,304x = 229,112 × 229,112
  4. Step 4: Simplify right side
    123,304x = 52,492,308,544
  5. Step 5: Solve for x
    x = 52,492,308,544/123,304
  6. Step 6: Final answer
    x = 425,714.56

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.