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Finding the Third Proportional to 110,267.16 and 239,204.81

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Solution

The third proportional to 110,267.16 and 239,204.81 is: 518,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,267.16 : 239,204.81 = 239,204.81 : x
  2. Step 2: Convert to fraction form
    110,267.16/239,204.81 = 239,204.81/x
  3. Step 3: Cross multiply
    110,267.16x = 239,204.81 × 239,204.81
  4. Step 4: Simplify right side
    110,267.16x = 57,218,942,323.16
  5. Step 5: Solve for x
    x = 57,218,942,323.16/110,267.16
  6. Step 6: Final answer
    x = 518,911.93

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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.