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Finding the Third Proportional to 221,944 and 347,791

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Solution

The third proportional to 221,944 and 347,791 is: 544,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,944 : 347,791 = 347,791 : x
  2. Step 2: Convert to fraction form
    221,944/347,791 = 347,791/x
  3. Step 3: Cross multiply
    221,944x = 347,791 × 347,791
  4. Step 4: Simplify right side
    221,944x = 120,958,579,681
  5. Step 5: Solve for x
    x = 120,958,579,681/221,944
  6. Step 6: Final answer
    x = 544,995.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.