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Finding the Third Proportional to 163,938 and 356,304

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Solution

The third proportional to 163,938 and 356,304 is: 774,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,938 : 356,304 = 356,304 : x
  2. Step 2: Convert to fraction form
    163,938/356,304 = 356,304/x
  3. Step 3: Cross multiply
    163,938x = 356,304 × 356,304
  4. Step 4: Simplify right side
    163,938x = 126,952,540,416
  5. Step 5: Solve for x
    x = 126,952,540,416/163,938
  6. Step 6: Final answer
    x = 774,393.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.