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Finding the Third Proportional to 177,466.50 and 384,875.44

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Solution

The third proportional to 177,466.50 and 384,875.44 is: 834,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,466.50 : 384,875.44 = 384,875.44 : x
  2. Step 2: Convert to fraction form
    177,466.50/384,875.44 = 384,875.44/x
  3. Step 3: Cross multiply
    177,466.50x = 384,875.44 × 384,875.44
  4. Step 4: Simplify right side
    177,466.50x = 148,129,102,390.82
  5. Step 5: Solve for x
    x = 148,129,102,390.82/177,466.50
  6. Step 6: Final answer
    x = 834,687.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.