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Finding the Third Proportional to 151,157 and 225,946

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Solution

The third proportional to 151,157 and 225,946 is: 337,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,157 : 225,946 = 225,946 : x
  2. Step 2: Convert to fraction form
    151,157/225,946 = 225,946/x
  3. Step 3: Cross multiply
    151,157x = 225,946 × 225,946
  4. Step 4: Simplify right side
    151,157x = 51,051,594,916
  5. Step 5: Solve for x
    x = 51,051,594,916/151,157
  6. Step 6: Final answer
    x = 337,738.87

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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.