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Finding the Third Proportional to 183,498 and 283,596.75

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Solution

The third proportional to 183,498 and 283,596.75 is: 438,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,498 : 283,596.75 = 283,596.75 : x
  2. Step 2: Convert to fraction form
    183,498/283,596.75 = 283,596.75/x
  3. Step 3: Cross multiply
    183,498x = 283,596.75 × 283,596.75
  4. Step 4: Simplify right side
    183,498x = 80,427,116,610.56
  5. Step 5: Solve for x
    x = 80,427,116,610.56/183,498
  6. Step 6: Final answer
    x = 438,299.69

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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.