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Finding the Third Proportional to 72,338 and 156,978

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Solution

The third proportional to 72,338 and 156,978 is: 340,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,338 : 156,978 = 156,978 : x
  2. Step 2: Convert to fraction form
    72,338/156,978 = 156,978/x
  3. Step 3: Cross multiply
    72,338x = 156,978 × 156,978
  4. Step 4: Simplify right side
    72,338x = 24,642,092,484
  5. Step 5: Solve for x
    x = 24,642,092,484/72,338
  6. Step 6: Final answer
    x = 340,652.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.