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Finding the Third Proportional to 165,252 and 356,264

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Solution

The third proportional to 165,252 and 356,264 is: 768,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,252 : 356,264 = 356,264 : x
  2. Step 2: Convert to fraction form
    165,252/356,264 = 356,264/x
  3. Step 3: Cross multiply
    165,252x = 356,264 × 356,264
  4. Step 4: Simplify right side
    165,252x = 126,924,037,696
  5. Step 5: Solve for x
    x = 126,924,037,696/165,252
  6. Step 6: Final answer
    x = 768,063.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.