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Finding the Third Proportional to 156,978 and 336,564

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Solution

The third proportional to 156,978 and 336,564 is: 721,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978 : 336,564 = 336,564 : x
  2. Step 2: Convert to fraction form
    156,978/336,564 = 336,564/x
  3. Step 3: Cross multiply
    156,978x = 336,564 × 336,564
  4. Step 4: Simplify right side
    156,978x = 113,275,326,096
  5. Step 5: Solve for x
    x = 113,275,326,096/156,978
  6. Step 6: Final answer
    x = 721,600.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.