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Finding the Third Proportional to 197,624 and 295,894

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Solution

The third proportional to 197,624 and 295,894 is: 443,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,624 : 295,894 = 295,894 : x
  2. Step 2: Convert to fraction form
    197,624/295,894 = 295,894/x
  3. Step 3: Cross multiply
    197,624x = 295,894 × 295,894
  4. Step 4: Simplify right side
    197,624x = 87,553,259,236
  5. Step 5: Solve for x
    x = 87,553,259,236/197,624
  6. Step 6: Final answer
    x = 443,029.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.