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Finding the Third Proportional to 224,493.75 and 348,546.38

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Solution

The third proportional to 224,493.75 and 348,546.38 is: 541,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,493.75 : 348,546.38 = 348,546.38 : x
  2. Step 2: Convert to fraction form
    224,493.75/348,546.38 = 348,546.38/x
  3. Step 3: Cross multiply
    224,493.75x = 348,546.38 × 348,546.38
  4. Step 4: Simplify right side
    224,493.75x = 121,484,575,525.64
  5. Step 5: Solve for x
    x = 121,484,575,525.64/224,493.75
  6. Step 6: Final answer
    x = 541,149.03

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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.