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Finding the Third Proportional to 201,600 and 297,802

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Solution

The third proportional to 201,600 and 297,802 is: 439,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,600 : 297,802 = 297,802 : x
  2. Step 2: Convert to fraction form
    201,600/297,802 = 297,802/x
  3. Step 3: Cross multiply
    201,600x = 297,802 × 297,802
  4. Step 4: Simplify right side
    201,600x = 88,686,031,204
  5. Step 5: Solve for x
    x = 88,686,031,204/201,600
  6. Step 6: Final answer
    x = 439,910.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.