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Finding the Third Proportional to 138,944 and 327,664

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Solution

The third proportional to 138,944 and 327,664 is: 772,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,944 : 327,664 = 327,664 : x
  2. Step 2: Convert to fraction form
    138,944/327,664 = 327,664/x
  3. Step 3: Cross multiply
    138,944x = 327,664 × 327,664
  4. Step 4: Simplify right side
    138,944x = 107,363,696,896
  5. Step 5: Solve for x
    x = 107,363,696,896/138,944
  6. Step 6: Final answer
    x = 772,712.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.