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Finding the Third Proportional to 160,472.25 and 248,344.88

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Solution

The third proportional to 160,472.25 and 248,344.88 is: 384,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,472.25 : 248,344.88 = 248,344.88 : x
  2. Step 2: Convert to fraction form
    160,472.25/248,344.88 = 248,344.88/x
  3. Step 3: Cross multiply
    160,472.25x = 248,344.88 × 248,344.88
  4. Step 4: Simplify right side
    160,472.25x = 61,675,176,938.77
  5. Step 5: Solve for x
    x = 61,675,176,938.77/160,472.25
  6. Step 6: Final answer
    x = 384,335.47

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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.