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Finding the Third Proportional to 177,557.06 and 419,083.88

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Solution

The third proportional to 177,557.06 and 419,083.88 is: 989,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,557.06 : 419,083.88 = 419,083.88 : x
  2. Step 2: Convert to fraction form
    177,557.06/419,083.88 = 419,083.88/x
  3. Step 3: Cross multiply
    177,557.06x = 419,083.88 × 419,083.88
  4. Step 4: Simplify right side
    177,557.06x = 175,631,294,285.02
  5. Step 5: Solve for x
    x = 175,631,294,285.02/177,557.06
  6. Step 6: Final answer
    x = 989,154.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.