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Finding the Third Proportional to 156,987 and 339,084

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Solution

The third proportional to 156,987 and 339,084 is: 732,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,987 : 339,084 = 339,084 : x
  2. Step 2: Convert to fraction form
    156,987/339,084 = 339,084/x
  3. Step 3: Cross multiply
    156,987x = 339,084 × 339,084
  4. Step 4: Simplify right side
    156,987x = 114,977,959,056
  5. Step 5: Solve for x
    x = 114,977,959,056/156,987
  6. Step 6: Final answer
    x = 732,404.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.