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Finding the Third Proportional to 151,824 and 227,034

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Solution

The third proportional to 151,824 and 227,034 is: 339,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,824 : 227,034 = 227,034 : x
  2. Step 2: Convert to fraction form
    151,824/227,034 = 227,034/x
  3. Step 3: Cross multiply
    151,824x = 227,034 × 227,034
  4. Step 4: Simplify right side
    151,824x = 51,544,437,156
  5. Step 5: Solve for x
    x = 51,544,437,156/151,824
  6. Step 6: Final answer
    x = 339,501.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.