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Finding the Third Proportional to 201,796 and 304,230

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Solution

The third proportional to 201,796 and 304,230 is: 458,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796 : 304,230 = 304,230 : x
  2. Step 2: Convert to fraction form
    201,796/304,230 = 304,230/x
  3. Step 3: Cross multiply
    201,796x = 304,230 × 304,230
  4. Step 4: Simplify right side
    201,796x = 92,555,892,900
  5. Step 5: Solve for x
    x = 92,555,892,900/201,796
  6. Step 6: Final answer
    x = 458,660.69

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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.