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Finding the Third Proportional to 174,299 and 268,253

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Solution

The third proportional to 174,299 and 268,253 is: 412,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,299 : 268,253 = 268,253 : x
  2. Step 2: Convert to fraction form
    174,299/268,253 = 268,253/x
  3. Step 3: Cross multiply
    174,299x = 268,253 × 268,253
  4. Step 4: Simplify right side
    174,299x = 71,959,672,009
  5. Step 5: Solve for x
    x = 71,959,672,009/174,299
  6. Step 6: Final answer
    x = 412,851.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.