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Finding the Third Proportional to 150,481 and 320,978

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Solution

The third proportional to 150,481 and 320,978 is: 684,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,481 : 320,978 = 320,978 : x
  2. Step 2: Convert to fraction form
    150,481/320,978 = 320,978/x
  3. Step 3: Cross multiply
    150,481x = 320,978 × 320,978
  4. Step 4: Simplify right side
    150,481x = 103,026,876,484
  5. Step 5: Solve for x
    x = 103,026,876,484/150,481
  6. Step 6: Final answer
    x = 684,650.40

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.