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Finding the Third Proportional to 183,290 and 283,800

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Solution

The third proportional to 183,290 and 283,800 is: 439,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,290 : 283,800 = 283,800 : x
  2. Step 2: Convert to fraction form
    183,290/283,800 = 283,800/x
  3. Step 3: Cross multiply
    183,290x = 283,800 × 283,800
  4. Step 4: Simplify right side
    183,290x = 80,542,440,000
  5. Step 5: Solve for x
    x = 80,542,440,000/183,290
  6. Step 6: Final answer
    x = 439,426.26

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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.