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Finding the Third Proportional to 159,825 and 339,360

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Solution

The third proportional to 159,825 and 339,360 is: 720,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,825 : 339,360 = 339,360 : x
  2. Step 2: Convert to fraction form
    159,825/339,360 = 339,360/x
  3. Step 3: Cross multiply
    159,825x = 339,360 × 339,360
  4. Step 4: Simplify right side
    159,825x = 115,165,209,600
  5. Step 5: Solve for x
    x = 115,165,209,600/159,825
  6. Step 6: Final answer
    x = 720,570.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.