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Finding the Third Proportional to 177,841.83 and 260,533.97

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Solution

The third proportional to 177,841.83 and 260,533.97 is: 381,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,841.83 : 260,533.97 = 260,533.97 : x
  2. Step 2: Convert to fraction form
    177,841.83/260,533.97 = 260,533.97/x
  3. Step 3: Cross multiply
    177,841.83x = 260,533.97 × 260,533.97
  4. Step 4: Simplify right side
    177,841.83x = 67,877,948,872.63
  5. Step 5: Solve for x
    x = 67,877,948,872.63/177,841.83
  6. Step 6: Final answer
    x = 381,675.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.