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Finding the Third Proportional to 106,667 and 235,478

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Solution

The third proportional to 106,667 and 235,478 is: 519,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,667 : 235,478 = 235,478 : x
  2. Step 2: Convert to fraction form
    106,667/235,478 = 235,478/x
  3. Step 3: Cross multiply
    106,667x = 235,478 × 235,478
  4. Step 4: Simplify right side
    106,667x = 55,449,888,484
  5. Step 5: Solve for x
    x = 55,449,888,484/106,667
  6. Step 6: Final answer
    x = 519,841.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.