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Finding the Third Proportional to 218,216 and 296,218

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Solution

The third proportional to 218,216 and 296,218 is: 402,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,216 : 296,218 = 296,218 : x
  2. Step 2: Convert to fraction form
    218,216/296,218 = 296,218/x
  3. Step 3: Cross multiply
    218,216x = 296,218 × 296,218
  4. Step 4: Simplify right side
    218,216x = 87,745,103,524
  5. Step 5: Solve for x
    x = 87,745,103,524/218,216
  6. Step 6: Final answer
    x = 402,102.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.