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Finding the Third Proportional to 107,686.50 and 236,766

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Solution

The third proportional to 107,686.50 and 236,766 is: 520,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,686.50 : 236,766 = 236,766 : x
  2. Step 2: Convert to fraction form
    107,686.50/236,766 = 236,766/x
  3. Step 3: Cross multiply
    107,686.50x = 236,766 × 236,766
  4. Step 4: Simplify right side
    107,686.50x = 56,058,138,756
  5. Step 5: Solve for x
    x = 56,058,138,756/107,686.50
  6. Step 6: Final answer
    x = 520,567.93

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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.