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Finding the Third Proportional to 73,800 and 166,464

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Solution

The third proportional to 73,800 and 166,464 is: 375,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,800 : 166,464 = 166,464 : x
  2. Step 2: Convert to fraction form
    73,800/166,464 = 166,464/x
  3. Step 3: Cross multiply
    73,800x = 166,464 × 166,464
  4. Step 4: Simplify right side
    73,800x = 27,710,263,296
  5. Step 5: Solve for x
    x = 27,710,263,296/73,800
  6. Step 6: Final answer
    x = 375,477.82

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.