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Finding the Third Proportional to 115,306.50 and 250,296

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Solution

The third proportional to 115,306.50 and 250,296 is: 543,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,306.50 : 250,296 = 250,296 : x
  2. Step 2: Convert to fraction form
    115,306.50/250,296 = 250,296/x
  3. Step 3: Cross multiply
    115,306.50x = 250,296 × 250,296
  4. Step 4: Simplify right side
    115,306.50x = 62,648,087,616
  5. Step 5: Solve for x
    x = 62,648,087,616/115,306.50
  6. Step 6: Final answer
    x = 543,317.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.