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Finding the Third Proportional to 166,644 and 268,351.50

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Solution

The third proportional to 166,644 and 268,351.50 is: 432,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,644 : 268,351.50 = 268,351.50 : x
  2. Step 2: Convert to fraction form
    166,644/268,351.50 = 268,351.50/x
  3. Step 3: Cross multiply
    166,644x = 268,351.50 × 268,351.50
  4. Step 4: Simplify right side
    166,644x = 72,012,527,552.25
  5. Step 5: Solve for x
    x = 72,012,527,552.25/166,644
  6. Step 6: Final answer
    x = 432,133.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.