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Finding the Third Proportional to 107,530 and 236,470

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Solution

The third proportional to 107,530 and 236,470 is: 520,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,530 : 236,470 = 236,470 : x
  2. Step 2: Convert to fraction form
    107,530/236,470 = 236,470/x
  3. Step 3: Cross multiply
    107,530x = 236,470 × 236,470
  4. Step 4: Simplify right side
    107,530x = 55,918,060,900
  5. Step 5: Solve for x
    x = 55,918,060,900/107,530
  6. Step 6: Final answer
    x = 520,022.89

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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.