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Finding the Third Proportional to 160,972 and 244,134

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Solution

The third proportional to 160,972 and 244,134 is: 370,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,972 : 244,134 = 244,134 : x
  2. Step 2: Convert to fraction form
    160,972/244,134 = 244,134/x
  3. Step 3: Cross multiply
    160,972x = 244,134 × 244,134
  4. Step 4: Simplify right side
    160,972x = 59,601,409,956
  5. Step 5: Solve for x
    x = 59,601,409,956/160,972
  6. Step 6: Final answer
    x = 370,259.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.