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Finding the Third Proportional to 119,498 and 183,425

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Solution

The third proportional to 119,498 and 183,425 is: 281,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,498 : 183,425 = 183,425 : x
  2. Step 2: Convert to fraction form
    119,498/183,425 = 183,425/x
  3. Step 3: Cross multiply
    119,498x = 183,425 × 183,425
  4. Step 4: Simplify right side
    119,498x = 33,644,730,625
  5. Step 5: Solve for x
    x = 33,644,730,625/119,498
  6. Step 6: Final answer
    x = 281,550.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.