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Finding the Third Proportional to 222,436 and 344,716

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Solution

The third proportional to 222,436 and 344,716 is: 534,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,436 : 344,716 = 344,716 : x
  2. Step 2: Convert to fraction form
    222,436/344,716 = 344,716/x
  3. Step 3: Cross multiply
    222,436x = 344,716 × 344,716
  4. Step 4: Simplify right side
    222,436x = 118,829,120,656
  5. Step 5: Solve for x
    x = 118,829,120,656/222,436
  6. Step 6: Final answer
    x = 534,217.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.