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Finding the Third Proportional to 165,648.88 and 363,840

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Solution

The third proportional to 165,648.88 and 363,840 is: 799,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,648.88 : 363,840 = 363,840 : x
  2. Step 2: Convert to fraction form
    165,648.88/363,840 = 363,840/x
  3. Step 3: Cross multiply
    165,648.88x = 363,840 × 363,840
  4. Step 4: Simplify right side
    165,648.88x = 132,379,545,600
  5. Step 5: Solve for x
    x = 132,379,545,600/165,648.88
  6. Step 6: Final answer
    x = 799,157.53

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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.