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Finding the Third Proportional to 138,771 and 327,479.50

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Solution

The third proportional to 138,771 and 327,479.50 is: 772,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771 : 327,479.50 = 327,479.50 : x
  2. Step 2: Convert to fraction form
    138,771/327,479.50 = 327,479.50/x
  3. Step 3: Cross multiply
    138,771x = 327,479.50 × 327,479.50
  4. Step 4: Simplify right side
    138,771x = 107,242,822,920.25
  5. Step 5: Solve for x
    x = 107,242,822,920.25/138,771
  6. Step 6: Final answer
    x = 772,804.28

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.