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Finding the Third Proportional to 217,947.38 and 294,374.25

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Solution

The third proportional to 217,947.38 and 294,374.25 is: 397,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,947.38 : 294,374.25 = 294,374.25 : x
  2. Step 2: Convert to fraction form
    217,947.38/294,374.25 = 294,374.25/x
  3. Step 3: Cross multiply
    217,947.38x = 294,374.25 × 294,374.25
  4. Step 4: Simplify right side
    217,947.38x = 86,656,199,063.06
  5. Step 5: Solve for x
    x = 86,656,199,063.06/217,947.38
  6. Step 6: Final answer
    x = 397,601.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.