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Finding the Third Proportional to 159,314.25 and 347,613

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Solution

The third proportional to 159,314.25 and 347,613 is: 758,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,314.25 : 347,613 = 347,613 : x
  2. Step 2: Convert to fraction form
    159,314.25/347,613 = 347,613/x
  3. Step 3: Cross multiply
    159,314.25x = 347,613 × 347,613
  4. Step 4: Simplify right side
    159,314.25x = 120,834,797,769
  5. Step 5: Solve for x
    x = 120,834,797,769/159,314.25
  6. Step 6: Final answer
    x = 758,468.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.