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Finding the Third Proportional to 193,855.50 and 289,621.13

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Solution

The third proportional to 193,855.50 and 289,621.13 is: 432,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,855.50 : 289,621.13 = 289,621.13 : x
  2. Step 2: Convert to fraction form
    193,855.50/289,621.13 = 289,621.13/x
  3. Step 3: Cross multiply
    193,855.50x = 289,621.13 × 289,621.13
  4. Step 4: Simplify right side
    193,855.50x = 83,880,396,046.27
  5. Step 5: Solve for x
    x = 83,880,396,046.27/193,855.50
  6. Step 6: Final answer
    x = 432,695.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.