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Finding the Third Proportional to 64,398 and 140,238

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Solution

The third proportional to 64,398 and 140,238 is: 305,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,398 : 140,238 = 140,238 : x
  2. Step 2: Convert to fraction form
    64,398/140,238 = 140,238/x
  3. Step 3: Cross multiply
    64,398x = 140,238 × 140,238
  4. Step 4: Simplify right side
    64,398x = 19,666,696,644
  5. Step 5: Solve for x
    x = 19,666,696,644/64,398
  6. Step 6: Final answer
    x = 305,392.97

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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.