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Finding the Third Proportional to 160,866 and 254,934

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Solution

The third proportional to 160,866 and 254,934 is: 404,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,866 : 254,934 = 254,934 : x
  2. Step 2: Convert to fraction form
    160,866/254,934 = 254,934/x
  3. Step 3: Cross multiply
    160,866x = 254,934 × 254,934
  4. Step 4: Simplify right side
    160,866x = 64,991,344,356
  5. Step 5: Solve for x
    x = 64,991,344,356/160,866
  6. Step 6: Final answer
    x = 404,009.20

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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.