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Finding the Third Proportional to 224,244 and 346,281

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Solution

The third proportional to 224,244 and 346,281 is: 534,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,244 : 346,281 = 346,281 : x
  2. Step 2: Convert to fraction form
    224,244/346,281 = 346,281/x
  3. Step 3: Cross multiply
    224,244x = 346,281 × 346,281
  4. Step 4: Simplify right side
    224,244x = 119,910,530,961
  5. Step 5: Solve for x
    x = 119,910,530,961/224,244
  6. Step 6: Final answer
    x = 534,732.39

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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.