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Finding the Third Proportional to 106,573.54 and 230,224.46

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Solution

The third proportional to 106,573.54 and 230,224.46 is: 497,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,573.54 : 230,224.46 = 230,224.46 : x
  2. Step 2: Convert to fraction form
    106,573.54/230,224.46 = 230,224.46/x
  3. Step 3: Cross multiply
    106,573.54x = 230,224.46 × 230,224.46
  4. Step 4: Simplify right side
    106,573.54x = 53,003,304,212.59
  5. Step 5: Solve for x
    x = 53,003,304,212.59/106,573.54
  6. Step 6: Final answer
    x = 497,340.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.