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Finding the Third Proportional to 131,807.06 and 283,638.94

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Solution

The third proportional to 131,807.06 and 283,638.94 is: 610,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,807.06 : 283,638.94 = 283,638.94 : x
  2. Step 2: Convert to fraction form
    131,807.06/283,638.94 = 283,638.94/x
  3. Step 3: Cross multiply
    131,807.06x = 283,638.94 × 283,638.94
  4. Step 4: Simplify right side
    131,807.06x = 80,451,046,866.13
  5. Step 5: Solve for x
    x = 80,451,046,866.13/131,807.06
  6. Step 6: Final answer
    x = 610,369.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.