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Finding the Third Proportional to 77,493.38 and 164,286.38

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Solution

The third proportional to 77,493.38 and 164,286.38 is: 348,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,493.38 : 164,286.38 = 164,286.38 : x
  2. Step 2: Convert to fraction form
    77,493.38/164,286.38 = 164,286.38/x
  3. Step 3: Cross multiply
    77,493.38x = 164,286.38 × 164,286.38
  4. Step 4: Simplify right side
    77,493.38x = 26,990,013,010.64
  5. Step 5: Solve for x
    x = 26,990,013,010.64/77,493.38
  6. Step 6: Final answer
    x = 348,288.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.