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Finding the Third Proportional to 118,165.50 and 259,299

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Solution

The third proportional to 118,165.50 and 259,299 is: 568,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,165.50 : 259,299 = 259,299 : x
  2. Step 2: Convert to fraction form
    118,165.50/259,299 = 259,299/x
  3. Step 3: Cross multiply
    118,165.50x = 259,299 × 259,299
  4. Step 4: Simplify right side
    118,165.50x = 67,235,971,401
  5. Step 5: Solve for x
    x = 67,235,971,401/118,165.50
  6. Step 6: Final answer
    x = 568,998.32

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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.