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Finding the Third Proportional to 159,968 and 244,047

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Solution

The third proportional to 159,968 and 244,047 is: 372,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,968 : 244,047 = 244,047 : x
  2. Step 2: Convert to fraction form
    159,968/244,047 = 244,047/x
  3. Step 3: Cross multiply
    159,968x = 244,047 × 244,047
  4. Step 4: Simplify right side
    159,968x = 59,558,938,209
  5. Step 5: Solve for x
    x = 59,558,938,209/159,968
  6. Step 6: Final answer
    x = 372,317.83

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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.