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Finding the Third Proportional to 163,992 and 356,844

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Solution

The third proportional to 163,992 and 356,844 is: 776,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,992 : 356,844 = 356,844 : x
  2. Step 2: Convert to fraction form
    163,992/356,844 = 356,844/x
  3. Step 3: Cross multiply
    163,992x = 356,844 × 356,844
  4. Step 4: Simplify right side
    163,992x = 127,337,640,336
  5. Step 5: Solve for x
    x = 127,337,640,336/163,992
  6. Step 6: Final answer
    x = 776,486.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.