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Finding the Third Proportional to 159,856.50 and 238,686

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Solution

The third proportional to 159,856.50 and 238,686 is: 356,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,856.50 : 238,686 = 238,686 : x
  2. Step 2: Convert to fraction form
    159,856.50/238,686 = 238,686/x
  3. Step 3: Cross multiply
    159,856.50x = 238,686 × 238,686
  4. Step 4: Simplify right side
    159,856.50x = 56,971,006,596
  5. Step 5: Solve for x
    x = 56,971,006,596/159,856.50
  6. Step 6: Final answer
    x = 356,388.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.