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Finding the Third Proportional to 227,820.66 and 350,661.38

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Solution

The third proportional to 227,820.66 and 350,661.38 is: 539,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,820.66 : 350,661.38 = 350,661.38 : x
  2. Step 2: Convert to fraction form
    227,820.66/350,661.38 = 350,661.38/x
  3. Step 3: Cross multiply
    227,820.66x = 350,661.38 × 350,661.38
  4. Step 4: Simplify right side
    227,820.66x = 122,963,399,916.89
  5. Step 5: Solve for x
    x = 122,963,399,916.89/227,820.66
  6. Step 6: Final answer
    x = 539,737.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.