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Finding the Third Proportional to 183,570 and 285,825

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Solution

The third proportional to 183,570 and 285,825 is: 445,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,570 : 285,825 = 285,825 : x
  2. Step 2: Convert to fraction form
    183,570/285,825 = 285,825/x
  3. Step 3: Cross multiply
    183,570x = 285,825 × 285,825
  4. Step 4: Simplify right side
    183,570x = 81,695,930,625
  5. Step 5: Solve for x
    x = 81,695,930,625/183,570
  6. Step 6: Final answer
    x = 445,039.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.