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Finding the Third Proportional to 224,868 and 299,346

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Solution

The third proportional to 224,868 and 299,346 is: 398,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,868 : 299,346 = 299,346 : x
  2. Step 2: Convert to fraction form
    224,868/299,346 = 299,346/x
  3. Step 3: Cross multiply
    224,868x = 299,346 × 299,346
  4. Step 4: Simplify right side
    224,868x = 89,608,027,716
  5. Step 5: Solve for x
    x = 89,608,027,716/224,868
  6. Step 6: Final answer
    x = 398,491.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.