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Finding the Third Proportional to 118,234.50 and 259,464

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Solution

The third proportional to 118,234.50 and 259,464 is: 569,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,234.50 : 259,464 = 259,464 : x
  2. Step 2: Convert to fraction form
    118,234.50/259,464 = 259,464/x
  3. Step 3: Cross multiply
    118,234.50x = 259,464 × 259,464
  4. Step 4: Simplify right side
    118,234.50x = 67,321,567,296
  5. Step 5: Solve for x
    x = 67,321,567,296/118,234.50
  6. Step 6: Final answer
    x = 569,390.21

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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.