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Finding the Third Proportional to 225,787 and 349,796

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Solution

The third proportional to 225,787 and 349,796 is: 541,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,787 : 349,796 = 349,796 : x
  2. Step 2: Convert to fraction form
    225,787/349,796 = 349,796/x
  3. Step 3: Cross multiply
    225,787x = 349,796 × 349,796
  4. Step 4: Simplify right side
    225,787x = 122,357,241,616
  5. Step 5: Solve for x
    x = 122,357,241,616/225,787
  6. Step 6: Final answer
    x = 541,914.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.