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Finding the Third Proportional to 115,211.38 and 239,619.63

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Solution

The third proportional to 115,211.38 and 239,619.63 is: 498,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,211.38 : 239,619.63 = 239,619.63 : x
  2. Step 2: Convert to fraction form
    115,211.38/239,619.63 = 239,619.63/x
  3. Step 3: Cross multiply
    115,211.38x = 239,619.63 × 239,619.63
  4. Step 4: Simplify right side
    115,211.38x = 57,417,564,685.14
  5. Step 5: Solve for x
    x = 57,417,564,685.14/115,211.38
  6. Step 6: Final answer
    x = 498,367.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.