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Finding the Third Proportional to 105,986 and 232,708

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Solution

The third proportional to 105,986 and 232,708 is: 510,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,986 : 232,708 = 232,708 : x
  2. Step 2: Convert to fraction form
    105,986/232,708 = 232,708/x
  3. Step 3: Cross multiply
    105,986x = 232,708 × 232,708
  4. Step 4: Simplify right side
    105,986x = 54,153,013,264
  5. Step 5: Solve for x
    x = 54,153,013,264/105,986
  6. Step 6: Final answer
    x = 510,944.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.