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Finding the Third Proportional to 159,708.98 and 347,443.59

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Solution

The third proportional to 159,708.98 and 347,443.59 is: 755,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,708.98 : 347,443.59 = 347,443.59 : x
  2. Step 2: Convert to fraction form
    159,708.98/347,443.59 = 347,443.59/x
  3. Step 3: Cross multiply
    159,708.98x = 347,443.59 × 347,443.59
  4. Step 4: Simplify right side
    159,708.98x = 120,717,050,837.92
  5. Step 5: Solve for x
    x = 120,717,050,837.92/159,708.98
  6. Step 6: Final answer
    x = 755,856.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.