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Finding the Third Proportional to 163,387.13 and 356,344.31

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Solution

The third proportional to 163,387.13 and 356,344.31 is: 777,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,387.13 : 356,344.31 = 356,344.31 : x
  2. Step 2: Convert to fraction form
    163,387.13/356,344.31 = 356,344.31/x
  3. Step 3: Cross multiply
    163,387.13x = 356,344.31 × 356,344.31
  4. Step 4: Simplify right side
    163,387.13x = 126,981,269,051.10
  5. Step 5: Solve for x
    x = 126,981,269,051.10/163,387.13
  6. Step 6: Final answer
    x = 777,180.39

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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.