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Finding the Third Proportional to 158,827.50 and 225,787.50

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Solution

The third proportional to 158,827.50 and 225,787.50 is: 320,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,827.50 : 225,787.50 = 225,787.50 : x
  2. Step 2: Convert to fraction form
    158,827.50/225,787.50 = 225,787.50/x
  3. Step 3: Cross multiply
    158,827.50x = 225,787.50 × 225,787.50
  4. Step 4: Simplify right side
    158,827.50x = 50,979,995,156.25
  5. Step 5: Solve for x
    x = 50,979,995,156.25/158,827.50
  6. Step 6: Final answer
    x = 320,977.13

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.