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Finding the Third Proportional to 165,250 and 356,260

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Solution

The third proportional to 165,250 and 356,260 is: 768,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,250 : 356,260 = 356,260 : x
  2. Step 2: Convert to fraction form
    165,250/356,260 = 356,260/x
  3. Step 3: Cross multiply
    165,250x = 356,260 × 356,260
  4. Step 4: Simplify right side
    165,250x = 126,921,187,600
  5. Step 5: Solve for x
    x = 126,921,187,600/165,250
  6. Step 6: Final answer
    x = 768,055.60

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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.