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Finding the Third Proportional to 159,818.50 and 339,345.50

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Solution

The third proportional to 159,818.50 and 339,345.50 is: 720,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,818.50 : 339,345.50 = 339,345.50 : x
  2. Step 2: Convert to fraction form
    159,818.50/339,345.50 = 339,345.50/x
  3. Step 3: Cross multiply
    159,818.50x = 339,345.50 × 339,345.50
  4. Step 4: Simplify right side
    159,818.50x = 115,155,368,370.25
  5. Step 5: Solve for x
    x = 115,155,368,370.25/159,818.50
  6. Step 6: Final answer
    x = 720,538.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.