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Finding the Third Proportional to 224,832 and 338,724

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Solution

The third proportional to 224,832 and 338,724 is: 510,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,832 : 338,724 = 338,724 : x
  2. Step 2: Convert to fraction form
    224,832/338,724 = 338,724/x
  3. Step 3: Cross multiply
    224,832x = 338,724 × 338,724
  4. Step 4: Simplify right side
    224,832x = 114,733,948,176
  5. Step 5: Solve for x
    x = 114,733,948,176/224,832
  6. Step 6: Final answer
    x = 510,309.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.