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Finding the Third Proportional to 165,756.38 and 250,012.83

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Solution

The third proportional to 165,756.38 and 250,012.83 is: 377,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,756.38 : 250,012.83 = 250,012.83 : x
  2. Step 2: Convert to fraction form
    165,756.38/250,012.83 = 250,012.83/x
  3. Step 3: Cross multiply
    165,756.38x = 250,012.83 × 250,012.83
  4. Step 4: Simplify right side
    165,756.38x = 62,506,414,227.06
  5. Step 5: Solve for x
    x = 62,506,414,227.06/165,756.38
  6. Step 6: Final answer
    x = 377,098.10

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