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Finding the Third Proportional to 151,845 and 226,534.50

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Solution

The third proportional to 151,845 and 226,534.50 is: 337,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,845 : 226,534.50 = 226,534.50 : x
  2. Step 2: Convert to fraction form
    151,845/226,534.50 = 226,534.50/x
  3. Step 3: Cross multiply
    151,845x = 226,534.50 × 226,534.50
  4. Step 4: Simplify right side
    151,845x = 51,317,879,690.25
  5. Step 5: Solve for x
    x = 51,317,879,690.25/151,845
  6. Step 6: Final answer
    x = 337,962.26

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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.