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Finding the Third Proportional to 149,805 and 227,774.25

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Solution

The third proportional to 149,805 and 227,774.25 is: 346,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,805 : 227,774.25 = 227,774.25 : x
  2. Step 2: Convert to fraction form
    149,805/227,774.25 = 227,774.25/x
  3. Step 3: Cross multiply
    149,805x = 227,774.25 × 227,774.25
  4. Step 4: Simplify right side
    149,805x = 51,881,108,963.06
  5. Step 5: Solve for x
    x = 51,881,108,963.06/149,805
  6. Step 6: Final answer
    x = 346,324.28

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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.