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Finding the Third Proportional to 165,766 and 250,028

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Solution

The third proportional to 165,766 and 250,028 is: 377,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,766 : 250,028 = 250,028 : x
  2. Step 2: Convert to fraction form
    165,766/250,028 = 250,028/x
  3. Step 3: Cross multiply
    165,766x = 250,028 × 250,028
  4. Step 4: Simplify right side
    165,766x = 62,514,000,784
  5. Step 5: Solve for x
    x = 62,514,000,784/165,766
  6. Step 6: Final answer
    x = 377,121.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.