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Finding the Third Proportional to 148,624 and 320,934

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Solution

The third proportional to 148,624 and 320,934 is: 693,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,624 : 320,934 = 320,934 : x
  2. Step 2: Convert to fraction form
    148,624/320,934 = 320,934/x
  3. Step 3: Cross multiply
    148,624x = 320,934 × 320,934
  4. Step 4: Simplify right side
    148,624x = 102,998,632,356
  5. Step 5: Solve for x
    x = 102,998,632,356/148,624
  6. Step 6: Final answer
    x = 693,014.80

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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.