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Finding the Third Proportional to 106,332.75 and 231,984

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Solution

The third proportional to 106,332.75 and 231,984 is: 506,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,332.75 : 231,984 = 231,984 : x
  2. Step 2: Convert to fraction form
    106,332.75/231,984 = 231,984/x
  3. Step 3: Cross multiply
    106,332.75x = 231,984 × 231,984
  4. Step 4: Simplify right side
    106,332.75x = 53,816,576,256
  5. Step 5: Solve for x
    x = 53,816,576,256/106,332.75
  6. Step 6: Final answer
    x = 506,114.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.