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Finding the Third Proportional to 165,363 and 356,916

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Solution

The third proportional to 165,363 and 356,916 is: 770,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,363 : 356,916 = 356,916 : x
  2. Step 2: Convert to fraction form
    165,363/356,916 = 356,916/x
  3. Step 3: Cross multiply
    165,363x = 356,916 × 356,916
  4. Step 4: Simplify right side
    165,363x = 127,389,031,056
  5. Step 5: Solve for x
    x = 127,389,031,056/165,363
  6. Step 6: Final answer
    x = 770,359.94

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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.