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Finding the Third Proportional to 159,823.13 and 339,356.25

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Solution

The third proportional to 159,823.13 and 339,356.25 is: 720,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,823.13 : 339,356.25 = 339,356.25 : x
  2. Step 2: Convert to fraction form
    159,823.13/339,356.25 = 339,356.25/x
  3. Step 3: Cross multiply
    159,823.13x = 339,356.25 × 339,356.25
  4. Step 4: Simplify right side
    159,823.13x = 115,162,664,414.06
  5. Step 5: Solve for x
    x = 115,162,664,414.06/159,823.13
  6. Step 6: Final answer
    x = 720,563.21

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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.