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Finding the Third Proportional to 227,663.25 and 334,113.75

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Solution

The third proportional to 227,663.25 and 334,113.75 is: 490,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,663.25 : 334,113.75 = 334,113.75 : x
  2. Step 2: Convert to fraction form
    227,663.25/334,113.75 = 334,113.75/x
  3. Step 3: Cross multiply
    227,663.25x = 334,113.75 × 334,113.75
  4. Step 4: Simplify right side
    227,663.25x = 111,631,997,939.06
  5. Step 5: Solve for x
    x = 111,631,997,939.06/227,663.25
  6. Step 6: Final answer
    x = 490,338.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.