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Finding the Third Proportional to 149,910.75 and 227,935.50

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Solution

The third proportional to 149,910.75 and 227,935.50 is: 346,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,910.75 : 227,935.50 = 227,935.50 : x
  2. Step 2: Convert to fraction form
    149,910.75/227,935.50 = 227,935.50/x
  3. Step 3: Cross multiply
    149,910.75x = 227,935.50 × 227,935.50
  4. Step 4: Simplify right side
    149,910.75x = 51,954,592,160.25
  5. Step 5: Solve for x
    x = 51,954,592,160.25/149,910.75
  6. Step 6: Final answer
    x = 346,570.16

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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.