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Finding the Third Proportional to 220,022 and 343,182

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Solution

The third proportional to 220,022 and 343,182 is: 535,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,022 : 343,182 = 343,182 : x
  2. Step 2: Convert to fraction form
    220,022/343,182 = 343,182/x
  3. Step 3: Cross multiply
    220,022x = 343,182 × 343,182
  4. Step 4: Simplify right side
    220,022x = 117,773,885,124
  5. Step 5: Solve for x
    x = 117,773,885,124/220,022
  6. Step 6: Final answer
    x = 535,282.31

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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.