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Finding the Third Proportional to 106,707 and 232,206

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Solution

The third proportional to 106,707 and 232,206 is: 505,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,707 : 232,206 = 232,206 : x
  2. Step 2: Convert to fraction form
    106,707/232,206 = 232,206/x
  3. Step 3: Cross multiply
    106,707x = 232,206 × 232,206
  4. Step 4: Simplify right side
    106,707x = 53,919,626,436
  5. Step 5: Solve for x
    x = 53,919,626,436/106,707
  6. Step 6: Final answer
    x = 505,305.43

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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.