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Finding the Third Proportional to 110,281.50 and 239,230.13

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Solution

The third proportional to 110,281.50 and 239,230.13 is: 518,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,281.50 : 239,230.13 = 239,230.13 : x
  2. Step 2: Convert to fraction form
    110,281.50/239,230.13 = 239,230.13/x
  3. Step 3: Cross multiply
    110,281.50x = 239,230.13 × 239,230.13
  4. Step 4: Simplify right side
    110,281.50x = 57,231,052,707.52
  5. Step 5: Solve for x
    x = 57,231,052,707.52/110,281.50
  6. Step 6: Final answer
    x = 518,954.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.