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Finding the Third Proportional to 224,338 and 344,820

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Solution

The third proportional to 224,338 and 344,820 is: 530,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,338 : 344,820 = 344,820 : x
  2. Step 2: Convert to fraction form
    224,338/344,820 = 344,820/x
  3. Step 3: Cross multiply
    224,338x = 344,820 × 344,820
  4. Step 4: Simplify right side
    224,338x = 118,900,832,400
  5. Step 5: Solve for x
    x = 118,900,832,400/224,338
  6. Step 6: Final answer
    x = 530,007.54

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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.