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Finding the Third Proportional to 151,818.75 and 226,892.25

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Solution

The third proportional to 151,818.75 and 226,892.25 is: 339,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,818.75 : 226,892.25 = 226,892.25 : x
  2. Step 2: Convert to fraction form
    151,818.75/226,892.25 = 226,892.25/x
  3. Step 3: Cross multiply
    151,818.75x = 226,892.25 × 226,892.25
  4. Step 4: Simplify right side
    151,818.75x = 51,480,093,110.06
  5. Step 5: Solve for x
    x = 51,480,093,110.06/151,818.75
  6. Step 6: Final answer
    x = 339,089.16

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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.