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Finding the Third Proportional to 207,723 and 339,160.50

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Solution

The third proportional to 207,723 and 339,160.50 is: 553,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,723 : 339,160.50 = 339,160.50 : x
  2. Step 2: Convert to fraction form
    207,723/339,160.50 = 339,160.50/x
  3. Step 3: Cross multiply
    207,723x = 339,160.50 × 339,160.50
  4. Step 4: Simplify right side
    207,723x = 115,029,844,760.25
  5. Step 5: Solve for x
    x = 115,029,844,760.25/207,723
  6. Step 6: Final answer
    x = 553,765.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.