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Finding the Third Proportional to 131,495.91 and 285,408.56

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Solution

The third proportional to 131,495.91 and 285,408.56 is: 619,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,495.91 : 285,408.56 = 285,408.56 : x
  2. Step 2: Convert to fraction form
    131,495.91/285,408.56 = 285,408.56/x
  3. Step 3: Cross multiply
    131,495.91x = 285,408.56 × 285,408.56
  4. Step 4: Simplify right side
    131,495.91x = 81,458,047,548.32
  5. Step 5: Solve for x
    x = 81,458,047,548.32/131,495.91
  6. Step 6: Final answer
    x = 619,472.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.