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Finding the Third Proportional to 164,007 and 244,744.75

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Solution

The third proportional to 164,007 and 244,744.75 is: 365,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,007 : 244,744.75 = 244,744.75 : x
  2. Step 2: Convert to fraction form
    164,007/244,744.75 = 244,744.75/x
  3. Step 3: Cross multiply
    164,007x = 244,744.75 × 244,744.75
  4. Step 4: Simplify right side
    164,007x = 59,899,992,652.56
  5. Step 5: Solve for x
    x = 59,899,992,652.56/164,007
  6. Step 6: Final answer
    x = 365,228.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.