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Finding the Third Proportional to 217,437.75 and 306,200.25

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Solution

The third proportional to 217,437.75 and 306,200.25 is: 431,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,437.75 : 306,200.25 = 306,200.25 : x
  2. Step 2: Convert to fraction form
    217,437.75/306,200.25 = 306,200.25/x
  3. Step 3: Cross multiply
    217,437.75x = 306,200.25 × 306,200.25
  4. Step 4: Simplify right side
    217,437.75x = 93,758,593,100.06
  5. Step 5: Solve for x
    x = 93,758,593,100.06/217,437.75
  6. Step 6: Final answer
    x = 431,197.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.