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Finding the Third Proportional to 166,254.19 and 251,127.56

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Solution

The third proportional to 166,254.19 and 251,127.56 is: 379,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,254.19 : 251,127.56 = 251,127.56 : x
  2. Step 2: Convert to fraction form
    166,254.19/251,127.56 = 251,127.56/x
  3. Step 3: Cross multiply
    166,254.19x = 251,127.56 × 251,127.56
  4. Step 4: Simplify right side
    166,254.19x = 63,065,052,647.19
  5. Step 5: Solve for x
    x = 63,065,052,647.19/166,254.19
  6. Step 6: Final answer
    x = 379,329.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.