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Finding the Third Proportional to 168,798.75 and 261,285

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Solution

The third proportional to 168,798.75 and 261,285 is: 404,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,798.75 : 261,285 = 261,285 : x
  2. Step 2: Convert to fraction form
    168,798.75/261,285 = 261,285/x
  3. Step 3: Cross multiply
    168,798.75x = 261,285 × 261,285
  4. Step 4: Simplify right side
    168,798.75x = 68,269,851,225
  5. Step 5: Solve for x
    x = 68,269,851,225/168,798.75
  6. Step 6: Final answer
    x = 404,445.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.