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Finding the Third Proportional to 149,718.38 and 324,359.44

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Solution

The third proportional to 149,718.38 and 324,359.44 is: 702,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,718.38 : 324,359.44 = 324,359.44 : x
  2. Step 2: Convert to fraction form
    149,718.38/324,359.44 = 324,359.44/x
  3. Step 3: Cross multiply
    149,718.38x = 324,359.44 × 324,359.44
  4. Step 4: Simplify right side
    149,718.38x = 105,209,044,695.32
  5. Step 5: Solve for x
    x = 105,209,044,695.32/149,718.38
  6. Step 6: Final answer
    x = 702,712.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.