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Finding the Third Proportional to 224,424 and 335,876.63

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Solution

The third proportional to 224,424 and 335,876.63 is: 502,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,424 : 335,876.63 = 335,876.63 : x
  2. Step 2: Convert to fraction form
    224,424/335,876.63 = 335,876.63/x
  3. Step 3: Cross multiply
    224,424x = 335,876.63 × 335,876.63
  4. Step 4: Simplify right side
    224,424x = 112,813,107,221.39
  5. Step 5: Solve for x
    x = 112,813,107,221.39/224,424
  6. Step 6: Final answer
    x = 502,678.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.