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Finding the Third Proportional to 224,236 and 313,998

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Solution

The third proportional to 224,236 and 313,998 is: 439,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,236 : 313,998 = 313,998 : x
  2. Step 2: Convert to fraction form
    224,236/313,998 = 313,998/x
  3. Step 3: Cross multiply
    224,236x = 313,998 × 313,998
  4. Step 4: Simplify right side
    224,236x = 98,594,744,004
  5. Step 5: Solve for x
    x = 98,594,744,004/224,236
  6. Step 6: Final answer
    x = 439,691.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.