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Finding the Third Proportional to 160,438 and 254,266

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Solution

The third proportional to 160,438 and 254,266 is: 402,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,438 : 254,266 = 254,266 : x
  2. Step 2: Convert to fraction form
    160,438/254,266 = 254,266/x
  3. Step 3: Cross multiply
    160,438x = 254,266 × 254,266
  4. Step 4: Simplify right side
    160,438x = 64,651,198,756
  5. Step 5: Solve for x
    x = 64,651,198,756/160,438
  6. Step 6: Final answer
    x = 402,966.87

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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.