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Finding the Third Proportional to 188,947.69 and 408,331.13

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Solution

The third proportional to 188,947.69 and 408,331.13 is: 882,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,947.69 : 408,331.13 = 408,331.13 : x
  2. Step 2: Convert to fraction form
    188,947.69/408,331.13 = 408,331.13/x
  3. Step 3: Cross multiply
    188,947.69x = 408,331.13 × 408,331.13
  4. Step 4: Simplify right side
    188,947.69x = 166,734,307,643.77
  5. Step 5: Solve for x
    x = 166,734,307,643.77/188,947.69
  6. Step 6: Final answer
    x = 882,436.35

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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.