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Finding the Third Proportional to 107,683.25 and 236,758.75

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Solution

The third proportional to 107,683.25 and 236,758.75 is: 520,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,683.25 : 236,758.75 = 236,758.75 : x
  2. Step 2: Convert to fraction form
    107,683.25/236,758.75 = 236,758.75/x
  3. Step 3: Cross multiply
    107,683.25x = 236,758.75 × 236,758.75
  4. Step 4: Simplify right side
    107,683.25x = 56,054,705,701.56
  5. Step 5: Solve for x
    x = 56,054,705,701.56/107,683.25
  6. Step 6: Final answer
    x = 520,551.76

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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.