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Finding the Third Proportional to 221,946 and 347,794

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Solution

The third proportional to 221,946 and 347,794 is: 545,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,946 : 347,794 = 347,794 : x
  2. Step 2: Convert to fraction form
    221,946/347,794 = 347,794/x
  3. Step 3: Cross multiply
    221,946x = 347,794 × 347,794
  4. Step 4: Simplify right side
    221,946x = 120,960,666,436
  5. Step 5: Solve for x
    x = 120,960,666,436/221,946
  6. Step 6: Final answer
    x = 545,000.43

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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.