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Finding the Third Proportional to 234,176.38 and 552,621.31

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Solution

The third proportional to 234,176.38 and 552,621.31 is: 1,304,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,176.38 : 552,621.31 = 552,621.31 : x
  2. Step 2: Convert to fraction form
    234,176.38/552,621.31 = 552,621.31/x
  3. Step 3: Cross multiply
    234,176.38x = 552,621.31 × 552,621.31
  4. Step 4: Simplify right side
    234,176.38x = 305,390,315,029.22
  5. Step 5: Solve for x
    x = 305,390,315,029.22/234,176.38
  6. Step 6: Final answer
    x = 1,304,103.86

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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.