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Finding the Third Proportional to 165,102 and 250,785

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Solution

The third proportional to 165,102 and 250,785 is: 380,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,102 : 250,785 = 250,785 : x
  2. Step 2: Convert to fraction form
    165,102/250,785 = 250,785/x
  3. Step 3: Cross multiply
    165,102x = 250,785 × 250,785
  4. Step 4: Simplify right side
    165,102x = 62,893,116,225
  5. Step 5: Solve for x
    x = 62,893,116,225/165,102
  6. Step 6: Final answer
    x = 380,934.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.