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Finding the Third Proportional to 225,069.89 and 345,097.97

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Solution

The third proportional to 225,069.89 and 345,097.97 is: 529,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,069.89 : 345,097.97 = 345,097.97 : x
  2. Step 2: Convert to fraction form
    225,069.89/345,097.97 = 345,097.97/x
  3. Step 3: Cross multiply
    225,069.89x = 345,097.97 × 345,097.97
  4. Step 4: Simplify right side
    225,069.89x = 119,092,608,035.38
  5. Step 5: Solve for x
    x = 119,092,608,035.38/225,069.89
  6. Step 6: Final answer
    x = 529,136.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.