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Finding the Third Proportional to 151,224 and 228,051

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Solution

The third proportional to 151,224 and 228,051 is: 343,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,224 : 228,051 = 228,051 : x
  2. Step 2: Convert to fraction form
    151,224/228,051 = 228,051/x
  3. Step 3: Cross multiply
    151,224x = 228,051 × 228,051
  4. Step 4: Simplify right side
    151,224x = 52,007,258,601
  5. Step 5: Solve for x
    x = 52,007,258,601/151,224
  6. Step 6: Final answer
    x = 343,908.76

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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.