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Finding the Third Proportional to 183,282.75 and 283,209.75

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Solution

The third proportional to 183,282.75 and 283,209.75 is: 437,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,282.75 : 283,209.75 = 283,209.75 : x
  2. Step 2: Convert to fraction form
    183,282.75/283,209.75 = 283,209.75/x
  3. Step 3: Cross multiply
    183,282.75x = 283,209.75 × 283,209.75
  4. Step 4: Simplify right side
    183,282.75x = 80,207,762,495.06
  5. Step 5: Solve for x
    x = 80,207,762,495.06/183,282.75
  6. Step 6: Final answer
    x = 437,617.63

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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.