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Finding the Third Proportional to 148,559 and 320,218

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Solution

The third proportional to 148,559 and 320,218 is: 690,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,559 : 320,218 = 320,218 : x
  2. Step 2: Convert to fraction form
    148,559/320,218 = 320,218/x
  3. Step 3: Cross multiply
    148,559x = 320,218 × 320,218
  4. Step 4: Simplify right side
    148,559x = 102,539,567,524
  5. Step 5: Solve for x
    x = 102,539,567,524/148,559
  6. Step 6: Final answer
    x = 690,227.91

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Why These Related Problems?

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