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Finding the Third Proportional to 166,884.50 and 258,246.50

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Solution

The third proportional to 166,884.50 and 258,246.50 is: 399,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,884.50 : 258,246.50 = 258,246.50 : x
  2. Step 2: Convert to fraction form
    166,884.50/258,246.50 = 258,246.50/x
  3. Step 3: Cross multiply
    166,884.50x = 258,246.50 × 258,246.50
  4. Step 4: Simplify right side
    166,884.50x = 66,691,254,762.25
  5. Step 5: Solve for x
    x = 66,691,254,762.25/166,884.50
  6. Step 6: Final answer
    x = 399,625.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.