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Finding the Third Proportional to 224,022 and 346,908

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Solution

The third proportional to 224,022 and 346,908 is: 537,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,022 : 346,908 = 346,908 : x
  2. Step 2: Convert to fraction form
    224,022/346,908 = 346,908/x
  3. Step 3: Cross multiply
    224,022x = 346,908 × 346,908
  4. Step 4: Simplify right side
    224,022x = 120,345,160,464
  5. Step 5: Solve for x
    x = 120,345,160,464/224,022
  6. Step 6: Final answer
    x = 537,202.42

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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.