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Finding the Third Proportional to 107,669 and 235,849

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Solution

The third proportional to 107,669 and 235,849 is: 516,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,669 : 235,849 = 235,849 : x
  2. Step 2: Convert to fraction form
    107,669/235,849 = 235,849/x
  3. Step 3: Cross multiply
    107,669x = 235,849 × 235,849
  4. Step 4: Simplify right side
    107,669x = 55,624,750,801
  5. Step 5: Solve for x
    x = 55,624,750,801/107,669
  6. Step 6: Final answer
    x = 516,627.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.