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Finding the Third Proportional to 165,833.50 and 250,137.38

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Solution

The third proportional to 165,833.50 and 250,137.38 is: 377,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,833.50 : 250,137.38 = 250,137.38 : x
  2. Step 2: Convert to fraction form
    165,833.50/250,137.38 = 250,137.38/x
  3. Step 3: Cross multiply
    165,833.50x = 250,137.38 × 250,137.38
  4. Step 4: Simplify right side
    165,833.50x = 62,568,706,371.89
  5. Step 5: Solve for x
    x = 62,568,706,371.89/165,833.50
  6. Step 6: Final answer
    x = 377,298.35

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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.