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Finding the Third Proportional to 105,324.75 and 225,472.50

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Solution

The third proportional to 105,324.75 and 225,472.50 is: 482,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,324.75 : 225,472.50 = 225,472.50 : x
  2. Step 2: Convert to fraction form
    105,324.75/225,472.50 = 225,472.50/x
  3. Step 3: Cross multiply
    105,324.75x = 225,472.50 × 225,472.50
  4. Step 4: Simplify right side
    105,324.75x = 50,837,848,256.25
  5. Step 5: Solve for x
    x = 50,837,848,256.25/105,324.75
  6. Step 6: Final answer
    x = 482,677.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.