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Finding the Third Proportional to 201,000 and 304,092

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Solution

The third proportional to 201,000 and 304,092 is: 460,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,000 : 304,092 = 304,092 : x
  2. Step 2: Convert to fraction form
    201,000/304,092 = 304,092/x
  3. Step 3: Cross multiply
    201,000x = 304,092 × 304,092
  4. Step 4: Simplify right side
    201,000x = 92,471,944,464
  5. Step 5: Solve for x
    x = 92,471,944,464/201,000
  6. Step 6: Final answer
    x = 460,059.43

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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.