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Finding the Third Proportional to 102,707 and 222,262

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Solution

The third proportional to 102,707 and 222,262 is: 480,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,707 : 222,262 = 222,262 : x
  2. Step 2: Convert to fraction form
    102,707/222,262 = 222,262/x
  3. Step 3: Cross multiply
    102,707x = 222,262 × 222,262
  4. Step 4: Simplify right side
    102,707x = 49,400,396,644
  5. Step 5: Solve for x
    x = 49,400,396,644/102,707
  6. Step 6: Final answer
    x = 480,983.74

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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.