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Finding the Third Proportional to 183,660.31 and 283,801.75

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Solution

The third proportional to 183,660.31 and 283,801.75 is: 438,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,660.31 : 283,801.75 = 283,801.75 : x
  2. Step 2: Convert to fraction form
    183,660.31/283,801.75 = 283,801.75/x
  3. Step 3: Cross multiply
    183,660.31x = 283,801.75 × 283,801.75
  4. Step 4: Simplify right side
    183,660.31x = 80,543,433,303.06
  5. Step 5: Solve for x
    x = 80,543,433,303.06/183,660.31
  6. Step 6: Final answer
    x = 438,545.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.