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Finding the Third Proportional to 229,227.75 and 354,228.75

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Solution

The third proportional to 229,227.75 and 354,228.75 is: 547,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,227.75 : 354,228.75 = 354,228.75 : x
  2. Step 2: Convert to fraction form
    229,227.75/354,228.75 = 354,228.75/x
  3. Step 3: Cross multiply
    229,227.75x = 354,228.75 × 354,228.75
  4. Step 4: Simplify right side
    229,227.75x = 125,478,007,326.56
  5. Step 5: Solve for x
    x = 125,478,007,326.56/229,227.75
  6. Step 6: Final answer
    x = 547,394.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.