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Finding the Third Proportional to 149,916 and 227,943

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Solution

The third proportional to 149,916 and 227,943 is: 346,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,916 : 227,943 = 227,943 : x
  2. Step 2: Convert to fraction form
    149,916/227,943 = 227,943/x
  3. Step 3: Cross multiply
    149,916x = 227,943 × 227,943
  4. Step 4: Simplify right side
    149,916x = 51,958,011,249
  5. Step 5: Solve for x
    x = 51,958,011,249/149,916
  6. Step 6: Final answer
    x = 346,580.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.