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Finding the Third Proportional to 156,685 and 238,700

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Solution

The third proportional to 156,685 and 238,700 is: 363,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,685 : 238,700 = 238,700 : x
  2. Step 2: Convert to fraction form
    156,685/238,700 = 238,700/x
  3. Step 3: Cross multiply
    156,685x = 238,700 × 238,700
  4. Step 4: Simplify right side
    156,685x = 56,977,690,000
  5. Step 5: Solve for x
    x = 56,977,690,000/156,685
  6. Step 6: Final answer
    x = 363,644.83

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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.