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Finding the Third Proportional to 138,718.50 and 327,261

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Solution

The third proportional to 138,718.50 and 327,261 is: 772,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,718.50 : 327,261 = 327,261 : x
  2. Step 2: Convert to fraction form
    138,718.50/327,261 = 327,261/x
  3. Step 3: Cross multiply
    138,718.50x = 327,261 × 327,261
  4. Step 4: Simplify right side
    138,718.50x = 107,099,762,121
  5. Step 5: Solve for x
    x = 107,099,762,121/138,718.50
  6. Step 6: Final answer
    x = 772,065.46

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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.