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Finding the Third Proportional to 234,072.75 and 372,493.13

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Solution

The third proportional to 234,072.75 and 372,493.13 is: 592,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,072.75 : 372,493.13 = 372,493.13 : x
  2. Step 2: Convert to fraction form
    234,072.75/372,493.13 = 372,493.13/x
  3. Step 3: Cross multiply
    234,072.75x = 372,493.13 × 372,493.13
  4. Step 4: Simplify right side
    234,072.75x = 138,751,128,172.27
  5. Step 5: Solve for x
    x = 138,751,128,172.27/234,072.75
  6. Step 6: Final answer
    x = 592,769.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.