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Finding the Third Proportional to 137,497.50 and 218,787.75

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Solution

The third proportional to 137,497.50 and 218,787.75 is: 348,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,497.50 : 218,787.75 = 218,787.75 : x
  2. Step 2: Convert to fraction form
    137,497.50/218,787.75 = 218,787.75/x
  3. Step 3: Cross multiply
    137,497.50x = 218,787.75 × 218,787.75
  4. Step 4: Simplify right side
    137,497.50x = 47,868,079,550.06
  5. Step 5: Solve for x
    x = 47,868,079,550.06/137,497.50
  6. Step 6: Final answer
    x = 348,137.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.