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Finding the Third Proportional to 160,957 and 254,811

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Solution

The third proportional to 160,957 and 254,811 is: 403,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,957 : 254,811 = 254,811 : x
  2. Step 2: Convert to fraction form
    160,957/254,811 = 254,811/x
  3. Step 3: Cross multiply
    160,957x = 254,811 × 254,811
  4. Step 4: Simplify right side
    160,957x = 64,928,645,721
  5. Step 5: Solve for x
    x = 64,928,645,721/160,957
  6. Step 6: Final answer
    x = 403,391.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.