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Finding the Third Proportional to 156,722 and 338,380

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Solution

The third proportional to 156,722 and 338,380 is: 730,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,722 : 338,380 = 338,380 : x
  2. Step 2: Convert to fraction form
    156,722/338,380 = 338,380/x
  3. Step 3: Cross multiply
    156,722x = 338,380 × 338,380
  4. Step 4: Simplify right side
    156,722x = 114,501,024,400
  5. Step 5: Solve for x
    x = 114,501,024,400/156,722
  6. Step 6: Final answer
    x = 730,599.56

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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.