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Finding the Third Proportional to 159,351.75 and 342,385.50

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Solution

The third proportional to 159,351.75 and 342,385.50 is: 735,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,351.75 : 342,385.50 = 342,385.50 : x
  2. Step 2: Convert to fraction form
    159,351.75/342,385.50 = 342,385.50/x
  3. Step 3: Cross multiply
    159,351.75x = 342,385.50 × 342,385.50
  4. Step 4: Simplify right side
    159,351.75x = 117,227,830,610.25
  5. Step 5: Solve for x
    x = 117,227,830,610.25/159,351.75
  6. Step 6: Final answer
    x = 735,654.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.