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Finding the Third Proportional to 118,234.99 and 259,463.86

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Solution

The third proportional to 118,234.99 and 259,463.86 is: 569,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,234.99 : 259,463.86 = 259,463.86 : x
  2. Step 2: Convert to fraction form
    118,234.99/259,463.86 = 259,463.86/x
  3. Step 3: Cross multiply
    118,234.99x = 259,463.86 × 259,463.86
  4. Step 4: Simplify right side
    118,234.99x = 67,321,494,321.77
  5. Step 5: Solve for x
    x = 67,321,494,321.77/118,234.99
  6. Step 6: Final answer
    x = 569,387.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.