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Finding the Third Proportional to 133,083.75 and 290,255.06

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Solution

The third proportional to 133,083.75 and 290,255.06 is: 633,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083.75 : 290,255.06 = 290,255.06 : x
  2. Step 2: Convert to fraction form
    133,083.75/290,255.06 = 290,255.06/x
  3. Step 3: Cross multiply
    133,083.75x = 290,255.06 × 290,255.06
  4. Step 4: Simplify right side
    133,083.75x = 84,248,001,306.88
  5. Step 5: Solve for x
    x = 84,248,001,306.88/133,083.75
  6. Step 6: Final answer
    x = 633,044.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.