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Finding the Third Proportional to 220,946 and 345,636

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Solution

The third proportional to 220,946 and 345,636 is: 540,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,946 : 345,636 = 345,636 : x
  2. Step 2: Convert to fraction form
    220,946/345,636 = 345,636/x
  3. Step 3: Cross multiply
    220,946x = 345,636 × 345,636
  4. Step 4: Simplify right side
    220,946x = 119,464,244,496
  5. Step 5: Solve for x
    x = 119,464,244,496/220,946
  6. Step 6: Final answer
    x = 540,694.31

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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.