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Finding the Third Proportional to 150,555.38 and 227,108.81

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Solution

The third proportional to 150,555.38 and 227,108.81 is: 342,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,555.38 : 227,108.81 = 227,108.81 : x
  2. Step 2: Convert to fraction form
    150,555.38/227,108.81 = 227,108.81/x
  3. Step 3: Cross multiply
    150,555.38x = 227,108.81 × 227,108.81
  4. Step 4: Simplify right side
    150,555.38x = 51,578,412,715.16
  5. Step 5: Solve for x
    x = 51,578,412,715.16/150,555.38
  6. Step 6: Final answer
    x = 342,587.65

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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.