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Finding the Third Proportional to 183,849.75 and 285,423.75

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Solution

The third proportional to 183,849.75 and 285,423.75 is: 443,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,849.75 : 285,423.75 = 285,423.75 : x
  2. Step 2: Convert to fraction form
    183,849.75/285,423.75 = 285,423.75/x
  3. Step 3: Cross multiply
    183,849.75x = 285,423.75 × 285,423.75
  4. Step 4: Simplify right side
    183,849.75x = 81,466,717,064.06
  5. Step 5: Solve for x
    x = 81,466,717,064.06/183,849.75
  6. Step 6: Final answer
    x = 443,115.73

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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.