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Finding the Third Proportional to 199,252 and 304,662

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Solution

The third proportional to 199,252 and 304,662 is: 465,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,252 : 304,662 = 304,662 : x
  2. Step 2: Convert to fraction form
    199,252/304,662 = 304,662/x
  3. Step 3: Cross multiply
    199,252x = 304,662 × 304,662
  4. Step 4: Simplify right side
    199,252x = 92,818,934,244
  5. Step 5: Solve for x
    x = 92,818,934,244/199,252
  6. Step 6: Final answer
    x = 465,836.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.