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Finding the Third Proportional to 160,542 and 248,928.75

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Solution

The third proportional to 160,542 and 248,928.75 is: 385,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,542 : 248,928.75 = 248,928.75 : x
  2. Step 2: Convert to fraction form
    160,542/248,928.75 = 248,928.75/x
  3. Step 3: Cross multiply
    160,542x = 248,928.75 × 248,928.75
  4. Step 4: Simplify right side
    160,542x = 61,965,522,576.56
  5. Step 5: Solve for x
    x = 61,965,522,576.56/160,542
  6. Step 6: Final answer
    x = 385,977.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.