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Finding the Third Proportional to 217,232.50 and 473,081.75

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Solution

The third proportional to 217,232.50 and 473,081.75 is: 1,030,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,232.50 : 473,081.75 = 473,081.75 : x
  2. Step 2: Convert to fraction form
    217,232.50/473,081.75 = 473,081.75/x
  3. Step 3: Cross multiply
    217,232.50x = 473,081.75 × 473,081.75
  4. Step 4: Simplify right side
    217,232.50x = 223,806,342,183.06
  5. Step 5: Solve for x
    x = 223,806,342,183.06/217,232.50
  6. Step 6: Final answer
    x = 1,030,261.78

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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.