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Finding the Third Proportional to 217,442 and 306,205.50

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Solution

The third proportional to 217,442 and 306,205.50 is: 431,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,442 : 306,205.50 = 306,205.50 : x
  2. Step 2: Convert to fraction form
    217,442/306,205.50 = 306,205.50/x
  3. Step 3: Cross multiply
    217,442x = 306,205.50 × 306,205.50
  4. Step 4: Simplify right side
    217,442x = 93,761,808,230.25
  5. Step 5: Solve for x
    x = 93,761,808,230.25/217,442
  6. Step 6: Final answer
    x = 431,203.76

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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.