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Finding the Third Proportional to 222,730 and 345,412

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Solution

The third proportional to 222,730 and 345,412 is: 535,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,730 : 345,412 = 345,412 : x
  2. Step 2: Convert to fraction form
    222,730/345,412 = 345,412/x
  3. Step 3: Cross multiply
    222,730x = 345,412 × 345,412
  4. Step 4: Simplify right side
    222,730x = 119,309,449,744
  5. Step 5: Solve for x
    x = 119,309,449,744/222,730
  6. Step 6: Final answer
    x = 535,668.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.