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Finding the Third Proportional to 166,756.50 and 258,599.25

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Solution

The third proportional to 166,756.50 and 258,599.25 is: 401,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,756.50 : 258,599.25 = 258,599.25 : x
  2. Step 2: Convert to fraction form
    166,756.50/258,599.25 = 258,599.25/x
  3. Step 3: Cross multiply
    166,756.50x = 258,599.25 × 258,599.25
  4. Step 4: Simplify right side
    166,756.50x = 66,873,572,100.56
  5. Step 5: Solve for x
    x = 66,873,572,100.56/166,756.50
  6. Step 6: Final answer
    x = 401,025.28

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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.