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Finding the Third Proportional to 131,408 and 202,216

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Solution

The third proportional to 131,408 and 202,216 is: 311,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,408 : 202,216 = 202,216 : x
  2. Step 2: Convert to fraction form
    131,408/202,216 = 202,216/x
  3. Step 3: Cross multiply
    131,408x = 202,216 × 202,216
  4. Step 4: Simplify right side
    131,408x = 40,891,310,656
  5. Step 5: Solve for x
    x = 40,891,310,656/131,408
  6. Step 6: Final answer
    x = 311,178.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.