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Finding the Third Proportional to 221,933 and 314,029

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Solution

The third proportional to 221,933 and 314,029 is: 444,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,933 : 314,029 = 314,029 : x
  2. Step 2: Convert to fraction form
    221,933/314,029 = 314,029/x
  3. Step 3: Cross multiply
    221,933x = 314,029 × 314,029
  4. Step 4: Simplify right side
    221,933x = 98,614,212,841
  5. Step 5: Solve for x
    x = 98,614,212,841/221,933
  6. Step 6: Final answer
    x = 444,342.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.