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Finding the Third Proportional to 107,417.25 and 236,286

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Solution

The third proportional to 107,417.25 and 236,286 is: 519,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,417.25 : 236,286 = 236,286 : x
  2. Step 2: Convert to fraction form
    107,417.25/236,286 = 236,286/x
  3. Step 3: Cross multiply
    107,417.25x = 236,286 × 236,286
  4. Step 4: Simplify right side
    107,417.25x = 55,831,073,796
  5. Step 5: Solve for x
    x = 55,831,073,796/107,417.25
  6. Step 6: Final answer
    x = 519,758.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.