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Finding the Third Proportional to 166,976 and 244,320

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Solution

The third proportional to 166,976 and 244,320 is: 357,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,976 : 244,320 = 244,320 : x
  2. Step 2: Convert to fraction form
    166,976/244,320 = 244,320/x
  3. Step 3: Cross multiply
    166,976x = 244,320 × 244,320
  4. Step 4: Simplify right side
    166,976x = 59,692,262,400
  5. Step 5: Solve for x
    x = 59,692,262,400/166,976
  6. Step 6: Final answer
    x = 357,490.07

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