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Finding the Third Proportional to 169,167 and 400,074

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Solution

The third proportional to 169,167 and 400,074 is: 946,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,167 : 400,074 = 400,074 : x
  2. Step 2: Convert to fraction form
    169,167/400,074 = 400,074/x
  3. Step 3: Cross multiply
    169,167x = 400,074 × 400,074
  4. Step 4: Simplify right side
    169,167x = 160,059,205,476
  5. Step 5: Solve for x
    x = 160,059,205,476/169,167
  6. Step 6: Final answer
    x = 946,160.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.