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Finding the Third Proportional to 166,266 and 243,568.50

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Solution

The third proportional to 166,266 and 243,568.50 is: 356,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,266 : 243,568.50 = 243,568.50 : x
  2. Step 2: Convert to fraction form
    166,266/243,568.50 = 243,568.50/x
  3. Step 3: Cross multiply
    166,266x = 243,568.50 × 243,568.50
  4. Step 4: Simplify right side
    166,266x = 59,325,614,192.25
  5. Step 5: Solve for x
    x = 59,325,614,192.25/166,266
  6. Step 6: Final answer
    x = 356,811.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.