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Finding the Third Proportional to 132,212.75 and 285,463.75

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Solution

The third proportional to 132,212.75 and 285,463.75 is: 616,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,212.75 : 285,463.75 = 285,463.75 : x
  2. Step 2: Convert to fraction form
    132,212.75/285,463.75 = 285,463.75/x
  3. Step 3: Cross multiply
    132,212.75x = 285,463.75 × 285,463.75
  4. Step 4: Simplify right side
    132,212.75x = 81,489,552,564.06
  5. Step 5: Solve for x
    x = 81,489,552,564.06/132,212.75
  6. Step 6: Final answer
    x = 616,351.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.