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Finding the Third Proportional to 160,958 and 254,812

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Solution

The third proportional to 160,958 and 254,812 is: 403,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,958 : 254,812 = 254,812 : x
  2. Step 2: Convert to fraction form
    160,958/254,812 = 254,812/x
  3. Step 3: Cross multiply
    160,958x = 254,812 × 254,812
  4. Step 4: Simplify right side
    160,958x = 64,929,155,344
  5. Step 5: Solve for x
    x = 64,929,155,344/160,958
  6. Step 6: Final answer
    x = 403,391.91

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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.