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Finding the Third Proportional to 166,816.50 and 258,519.75

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Solution

The third proportional to 166,816.50 and 258,519.75 is: 400,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,816.50 : 258,519.75 = 258,519.75 : x
  2. Step 2: Convert to fraction form
    166,816.50/258,519.75 = 258,519.75/x
  3. Step 3: Cross multiply
    166,816.50x = 258,519.75 × 258,519.75
  4. Step 4: Simplify right side
    166,816.50x = 66,832,461,140.06
  5. Step 5: Solve for x
    x = 66,832,461,140.06/166,816.50
  6. Step 6: Final answer
    x = 400,634.60

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Why These Related Problems?

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