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Finding the Third Proportional to 176,149.37 and 385,963.97

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Solution

The third proportional to 176,149.37 and 385,963.97 is: 845,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149.37 : 385,963.97 = 385,963.97 : x
  2. Step 2: Convert to fraction form
    176,149.37/385,963.97 = 385,963.97/x
  3. Step 3: Cross multiply
    176,149.37x = 385,963.97 × 385,963.97
  4. Step 4: Simplify right side
    176,149.37x = 148,968,187,434.75
  5. Step 5: Solve for x
    x = 148,968,187,434.75/176,149.37
  6. Step 6: Final answer
    x = 845,692.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.