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Finding the Third Proportional to 174,193.88 and 381,587.63

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Solution

The third proportional to 174,193.88 and 381,587.63 is: 835,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,193.88 : 381,587.63 = 381,587.63 : x
  2. Step 2: Convert to fraction form
    174,193.88/381,587.63 = 381,587.63/x
  3. Step 3: Cross multiply
    174,193.88x = 381,587.63 × 381,587.63
  4. Step 4: Simplify right side
    174,193.88x = 145,609,115,553.14
  5. Step 5: Solve for x
    x = 145,609,115,553.14/174,193.88
  6. Step 6: Final answer
    x = 835,902.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.