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Finding the Third Proportional to 196,975.13 and 288,474.75

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Solution

The third proportional to 196,975.13 and 288,474.75 is: 422,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,975.13 : 288,474.75 = 288,474.75 : x
  2. Step 2: Convert to fraction form
    196,975.13/288,474.75 = 288,474.75/x
  3. Step 3: Cross multiply
    196,975.13x = 288,474.75 × 288,474.75
  4. Step 4: Simplify right side
    196,975.13x = 83,217,681,387.56
  5. Step 5: Solve for x
    x = 83,217,681,387.56/196,975.13
  6. Step 6: Final answer
    x = 422,478.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.