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Finding the Third Proportional to 159,396 and 238,787

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Solution

The third proportional to 159,396 and 238,787 is: 357,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,396 : 238,787 = 238,787 : x
  2. Step 2: Convert to fraction form
    159,396/238,787 = 238,787/x
  3. Step 3: Cross multiply
    159,396x = 238,787 × 238,787
  4. Step 4: Simplify right side
    159,396x = 57,019,231,369
  5. Step 5: Solve for x
    x = 57,019,231,369/159,396
  6. Step 6: Final answer
    x = 357,720.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.