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Finding the Third Proportional to 159,772 and 244,506

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Solution

The third proportional to 159,772 and 244,506 is: 374,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,772 : 244,506 = 244,506 : x
  2. Step 2: Convert to fraction form
    159,772/244,506 = 244,506/x
  3. Step 3: Cross multiply
    159,772x = 244,506 × 244,506
  4. Step 4: Simplify right side
    159,772x = 59,783,184,036
  5. Step 5: Solve for x
    x = 59,783,184,036/159,772
  6. Step 6: Final answer
    x = 374,178.10

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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.