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Finding the Third Proportional to 225,340.69 and 343,695.38

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Solution

The third proportional to 225,340.69 and 343,695.38 is: 524,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,340.69 : 343,695.38 = 343,695.38 : x
  2. Step 2: Convert to fraction form
    225,340.69/343,695.38 = 343,695.38/x
  3. Step 3: Cross multiply
    225,340.69x = 343,695.38 × 343,695.38
  4. Step 4: Simplify right side
    225,340.69x = 118,126,510,796.39
  5. Step 5: Solve for x
    x = 118,126,510,796.39/225,340.69
  6. Step 6: Final answer
    x = 524,212.97

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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.