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Finding the Third Proportional to 165,156 and 356,808

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Solution

The third proportional to 165,156 and 356,808 is: 770,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,156 : 356,808 = 356,808 : x
  2. Step 2: Convert to fraction form
    165,156/356,808 = 356,808/x
  3. Step 3: Cross multiply
    165,156x = 356,808 × 356,808
  4. Step 4: Simplify right side
    165,156x = 127,311,948,864
  5. Step 5: Solve for x
    x = 127,311,948,864/165,156
  6. Step 6: Final answer
    x = 770,858.76

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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.