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Finding the Third Proportional to 115,219.13 and 239,635.13

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Solution

The third proportional to 115,219.13 and 239,635.13 is: 498,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,219.13 : 239,635.13 = 239,635.13 : x
  2. Step 2: Convert to fraction form
    115,219.13/239,635.13 = 239,635.13/x
  3. Step 3: Cross multiply
    115,219.13x = 239,635.13 × 239,635.13
  4. Step 4: Simplify right side
    115,219.13x = 57,424,993,133.77
  5. Step 5: Solve for x
    x = 57,424,993,133.77/115,219.13
  6. Step 6: Final answer
    x = 498,398.10

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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.