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Finding the Third Proportional to 146,097 and 220,725

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Solution

The third proportional to 146,097 and 220,725 is: 333,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,097 : 220,725 = 220,725 : x
  2. Step 2: Convert to fraction form
    146,097/220,725 = 220,725/x
  3. Step 3: Cross multiply
    146,097x = 220,725 × 220,725
  4. Step 4: Simplify right side
    146,097x = 48,719,525,625
  5. Step 5: Solve for x
    x = 48,719,525,625/146,097
  6. Step 6: Final answer
    x = 333,473.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.