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Finding the Third Proportional to 159,008 and 336,944

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Solution

The third proportional to 159,008 and 336,944 is: 713,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,008 : 336,944 = 336,944 : x
  2. Step 2: Convert to fraction form
    159,008/336,944 = 336,944/x
  3. Step 3: Cross multiply
    159,008x = 336,944 × 336,944
  4. Step 4: Simplify right side
    159,008x = 113,531,259,136
  5. Step 5: Solve for x
    x = 113,531,259,136/159,008
  6. Step 6: Final answer
    x = 713,997.15

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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.