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Finding the Third Proportional to 156,742 and 238,797

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Solution

The third proportional to 156,742 and 238,797 is: 363,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 238,797 = 238,797 : x
  2. Step 2: Convert to fraction form
    156,742/238,797 = 238,797/x
  3. Step 3: Cross multiply
    156,742x = 238,797 × 238,797
  4. Step 4: Simplify right side
    156,742x = 57,024,007,209
  5. Step 5: Solve for x
    x = 57,024,007,209/156,742
  6. Step 6: Final answer
    x = 363,808.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.