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Finding the Third Proportional to 178,600 and 244,896

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Solution

The third proportional to 178,600 and 244,896 is: 335,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,600 : 244,896 = 244,896 : x
  2. Step 2: Convert to fraction form
    178,600/244,896 = 244,896/x
  3. Step 3: Cross multiply
    178,600x = 244,896 × 244,896
  4. Step 4: Simplify right side
    178,600x = 59,974,050,816
  5. Step 5: Solve for x
    x = 59,974,050,816/178,600
  6. Step 6: Final answer
    x = 335,800.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.