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Finding the Third Proportional to 196,533 and 296,424

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Solution

The third proportional to 196,533 and 296,424 is: 447,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,533 : 296,424 = 296,424 : x
  2. Step 2: Convert to fraction form
    196,533/296,424 = 296,424/x
  3. Step 3: Cross multiply
    196,533x = 296,424 × 296,424
  4. Step 4: Simplify right side
    196,533x = 87,867,187,776
  5. Step 5: Solve for x
    x = 87,867,187,776/196,533
  6. Step 6: Final answer
    x = 447,086.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.