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Finding the Third Proportional to 227,251.13 and 336,484.13

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Solution

The third proportional to 227,251.13 and 336,484.13 is: 498,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,251.13 : 336,484.13 = 336,484.13 : x
  2. Step 2: Convert to fraction form
    227,251.13/336,484.13 = 336,484.13/x
  3. Step 3: Cross multiply
    227,251.13x = 336,484.13 × 336,484.13
  4. Step 4: Simplify right side
    227,251.13x = 113,221,566,377.02
  5. Step 5: Solve for x
    x = 113,221,566,377.02/227,251.13
  6. Step 6: Final answer
    x = 498,222.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.