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Finding the Third Proportional to 111,684.94 and 240,864.75

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Solution

The third proportional to 111,684.94 and 240,864.75 is: 519,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,684.94 : 240,864.75 = 240,864.75 : x
  2. Step 2: Convert to fraction form
    111,684.94/240,864.75 = 240,864.75/x
  3. Step 3: Cross multiply
    111,684.94x = 240,864.75 × 240,864.75
  4. Step 4: Simplify right side
    111,684.94x = 58,015,827,792.56
  5. Step 5: Solve for x
    x = 58,015,827,792.56/111,684.94
  6. Step 6: Final answer
    x = 519,459.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.