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Finding the Third Proportional to 166,490 and 270,496

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Solution

The third proportional to 166,490 and 270,496 is: 439,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,490 : 270,496 = 270,496 : x
  2. Step 2: Convert to fraction form
    166,490/270,496 = 270,496/x
  3. Step 3: Cross multiply
    166,490x = 270,496 × 270,496
  4. Step 4: Simplify right side
    166,490x = 73,168,086,016
  5. Step 5: Solve for x
    x = 73,168,086,016/166,490
  6. Step 6: Final answer
    x = 439,474.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.