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Finding the Third Proportional to 138,475.75 and 202,216

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Solution

The third proportional to 138,475.75 and 202,216 is: 295,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,475.75 : 202,216 = 202,216 : x
  2. Step 2: Convert to fraction form
    138,475.75/202,216 = 202,216/x
  3. Step 3: Cross multiply
    138,475.75x = 202,216 × 202,216
  4. Step 4: Simplify right side
    138,475.75x = 40,891,310,656
  5. Step 5: Solve for x
    x = 40,891,310,656/138,475.75
  6. Step 6: Final answer
    x = 295,295.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.