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Finding the Third Proportional to 158,365.13 and 329,791.50

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Solution

The third proportional to 158,365.13 and 329,791.50 is: 686,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,365.13 : 329,791.50 = 329,791.50 : x
  2. Step 2: Convert to fraction form
    158,365.13/329,791.50 = 329,791.50/x
  3. Step 3: Cross multiply
    158,365.13x = 329,791.50 × 329,791.50
  4. Step 4: Simplify right side
    158,365.13x = 108,762,433,472.25
  5. Step 5: Solve for x
    x = 108,762,433,472.25/158,365.13
  6. Step 6: Final answer
    x = 686,782.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.