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Finding the Third Proportional to 237,456.56 and 395,004.09

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Solution

The third proportional to 237,456.56 and 395,004.09 is: 657,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,456.56 : 395,004.09 = 395,004.09 : x
  2. Step 2: Convert to fraction form
    237,456.56/395,004.09 = 395,004.09/x
  3. Step 3: Cross multiply
    237,456.56x = 395,004.09 × 395,004.09
  4. Step 4: Simplify right side
    237,456.56x = 156,028,234,079.26
  5. Step 5: Solve for x
    x = 156,028,234,079.26/237,456.56
  6. Step 6: Final answer
    x = 657,081.16

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.