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Finding the Third Proportional to 165,237 and 356,718

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Solution

The third proportional to 165,237 and 356,718 is: 770,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,237 : 356,718 = 356,718 : x
  2. Step 2: Convert to fraction form
    165,237/356,718 = 356,718/x
  3. Step 3: Cross multiply
    165,237x = 356,718 × 356,718
  4. Step 4: Simplify right side
    165,237x = 127,247,731,524
  5. Step 5: Solve for x
    x = 127,247,731,524/165,237
  6. Step 6: Final answer
    x = 770,092.24

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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.