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Finding the Third Proportional to 225,099 and 343,365.75

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Solution

The third proportional to 225,099 and 343,365.75 is: 523,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,099 : 343,365.75 = 343,365.75 : x
  2. Step 2: Convert to fraction form
    225,099/343,365.75 = 343,365.75/x
  3. Step 3: Cross multiply
    225,099x = 343,365.75 × 343,365.75
  4. Step 4: Simplify right side
    225,099x = 117,900,038,273.06
  5. Step 5: Solve for x
    x = 117,900,038,273.06/225,099
  6. Step 6: Final answer
    x = 523,769.71

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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.