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Finding the Third Proportional to 196,624 and 296,548

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Solution

The third proportional to 196,624 and 296,548 is: 447,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,624 : 296,548 = 296,548 : x
  2. Step 2: Convert to fraction form
    196,624/296,548 = 296,548/x
  3. Step 3: Cross multiply
    196,624x = 296,548 × 296,548
  4. Step 4: Simplify right side
    196,624x = 87,940,716,304
  5. Step 5: Solve for x
    x = 87,940,716,304/196,624
  6. Step 6: Final answer
    x = 447,253.22

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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.