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Finding the Third Proportional to 107,494.75 and 251,017.75

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Solution

The third proportional to 107,494.75 and 251,017.75 is: 586,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,494.75 : 251,017.75 = 251,017.75 : x
  2. Step 2: Convert to fraction form
    107,494.75/251,017.75 = 251,017.75/x
  3. Step 3: Cross multiply
    107,494.75x = 251,017.75 × 251,017.75
  4. Step 4: Simplify right side
    107,494.75x = 63,009,910,815.06
  5. Step 5: Solve for x
    x = 63,009,910,815.06/107,494.75
  6. Step 6: Final answer
    x = 586,167.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.