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Finding the Third Proportional to 151,801 and 226,468.50

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Solution

The third proportional to 151,801 and 226,468.50 is: 337,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,801 : 226,468.50 = 226,468.50 : x
  2. Step 2: Convert to fraction form
    151,801/226,468.50 = 226,468.50/x
  3. Step 3: Cross multiply
    151,801x = 226,468.50 × 226,468.50
  4. Step 4: Simplify right side
    151,801x = 51,287,981,492.25
  5. Step 5: Solve for x
    x = 51,287,981,492.25/151,801
  6. Step 6: Final answer
    x = 337,863.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.