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Finding the Third Proportional to 145,694 and 225,011

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Solution

The third proportional to 145,694 and 225,011 is: 347,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,694 : 225,011 = 225,011 : x
  2. Step 2: Convert to fraction form
    145,694/225,011 = 225,011/x
  3. Step 3: Cross multiply
    145,694x = 225,011 × 225,011
  4. Step 4: Simplify right side
    145,694x = 50,629,950,121
  5. Step 5: Solve for x
    x = 50,629,950,121/145,694
  6. Step 6: Final answer
    x = 347,508.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.