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Finding the Third Proportional to 159,974 and 244,056

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Solution

The third proportional to 159,974 and 244,056 is: 372,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,974 : 244,056 = 244,056 : x
  2. Step 2: Convert to fraction form
    159,974/244,056 = 244,056/x
  3. Step 3: Cross multiply
    159,974x = 244,056 × 244,056
  4. Step 4: Simplify right side
    159,974x = 59,563,331,136
  5. Step 5: Solve for x
    x = 59,563,331,136/159,974
  6. Step 6: Final answer
    x = 372,331.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.