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Finding the Third Proportional to 165,767.77 and 250,035.61

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Solution

The third proportional to 165,767.77 and 250,035.61 is: 377,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,767.77 : 250,035.61 = 250,035.61 : x
  2. Step 2: Convert to fraction form
    165,767.77/250,035.61 = 250,035.61/x
  3. Step 3: Cross multiply
    165,767.77x = 250,035.61 × 250,035.61
  4. Step 4: Simplify right side
    165,767.77x = 62,517,805,955.53
  5. Step 5: Solve for x
    x = 62,517,805,955.53/165,767.77
  6. Step 6: Final answer
    x = 377,140.91

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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.