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Finding the Third Proportional to 234,184.50 and 552,641.06

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Solution

The third proportional to 234,184.50 and 552,641.06 is: 1,304,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,184.50 : 552,641.06 = 552,641.06 : x
  2. Step 2: Convert to fraction form
    234,184.50/552,641.06 = 552,641.06/x
  3. Step 3: Cross multiply
    234,184.50x = 552,641.06 × 552,641.06
  4. Step 4: Simplify right side
    234,184.50x = 305,412,143,961.13
  5. Step 5: Solve for x
    x = 305,412,143,961.13/234,184.50
  6. Step 6: Final answer
    x = 1,304,151.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.