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Finding the Third Proportional to 116,255 and 175,238

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Solution

The third proportional to 116,255 and 175,238 is: 264,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,255 : 175,238 = 175,238 : x
  2. Step 2: Convert to fraction form
    116,255/175,238 = 175,238/x
  3. Step 3: Cross multiply
    116,255x = 175,238 × 175,238
  4. Step 4: Simplify right side
    116,255x = 30,708,356,644
  5. Step 5: Solve for x
    x = 30,708,356,644/116,255
  6. Step 6: Final answer
    x = 264,146.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.