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Finding the Third Proportional to 223,982 and 349,611

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Solution

The third proportional to 223,982 and 349,611 is: 545,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,982 : 349,611 = 349,611 : x
  2. Step 2: Convert to fraction form
    223,982/349,611 = 349,611/x
  3. Step 3: Cross multiply
    223,982x = 349,611 × 349,611
  4. Step 4: Simplify right side
    223,982x = 122,227,851,321
  5. Step 5: Solve for x
    x = 122,227,851,321/223,982
  6. Step 6: Final answer
    x = 545,703.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.