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Finding the Third Proportional to 183,265.66 and 283,766.10

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Solution

The third proportional to 183,265.66 and 283,766.10 is: 439,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,265.66 : 283,766.10 = 283,766.10 : x
  2. Step 2: Convert to fraction form
    183,265.66/283,766.10 = 283,766.10/x
  3. Step 3: Cross multiply
    183,265.66x = 283,766.10 × 283,766.10
  4. Step 4: Simplify right side
    183,265.66x = 80,523,198,179.06
  5. Step 5: Solve for x
    x = 80,523,198,179.06/183,265.66
  6. Step 6: Final answer
    x = 439,379.62

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Why These Related Problems?

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