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Finding the Third Proportional to 138,439.88 and 325,957.50

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Solution

The third proportional to 138,439.88 and 325,957.50 is: 767,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,439.88 : 325,957.50 = 325,957.50 : x
  2. Step 2: Convert to fraction form
    138,439.88/325,957.50 = 325,957.50/x
  3. Step 3: Cross multiply
    138,439.88x = 325,957.50 × 325,957.50
  4. Step 4: Simplify right side
    138,439.88x = 106,248,291,806.25
  5. Step 5: Solve for x
    x = 106,248,291,806.25/138,439.88
  6. Step 6: Final answer
    x = 767,468.85

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.