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Finding the Third Proportional to 76,470 and 166,764

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Solution

The third proportional to 76,470 and 166,764 is: 363,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470 : 166,764 = 166,764 : x
  2. Step 2: Convert to fraction form
    76,470/166,764 = 166,764/x
  3. Step 3: Cross multiply
    76,470x = 166,764 × 166,764
  4. Step 4: Simplify right side
    76,470x = 27,810,231,696
  5. Step 5: Solve for x
    x = 27,810,231,696/76,470
  6. Step 6: Final answer
    x = 363,675.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.