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Finding the Third Proportional to 161,777.25 and 244,928.81

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Solution

The third proportional to 161,777.25 and 244,928.81 is: 370,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,777.25 : 244,928.81 = 244,928.81 : x
  2. Step 2: Convert to fraction form
    161,777.25/244,928.81 = 244,928.81/x
  3. Step 3: Cross multiply
    161,777.25x = 244,928.81 × 244,928.81
  4. Step 4: Simplify right side
    161,777.25x = 59,990,123,192.66
  5. Step 5: Solve for x
    x = 59,990,123,192.66/161,777.25
  6. Step 6: Final answer
    x = 370,819.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.