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Finding the Third Proportional to 199,232 and 304,902

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Solution

The third proportional to 199,232 and 304,902 is: 466,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,232 : 304,902 = 304,902 : x
  2. Step 2: Convert to fraction form
    199,232/304,902 = 304,902/x
  3. Step 3: Cross multiply
    199,232x = 304,902 × 304,902
  4. Step 4: Simplify right side
    199,232x = 92,965,229,604
  5. Step 5: Solve for x
    x = 92,965,229,604/199,232
  6. Step 6: Final answer
    x = 466,617.96

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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.