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Finding the Third Proportional to 220,212 and 306,411

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Solution

The third proportional to 220,212 and 306,411 is: 426,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,212 : 306,411 = 306,411 : x
  2. Step 2: Convert to fraction form
    220,212/306,411 = 306,411/x
  3. Step 3: Cross multiply
    220,212x = 306,411 × 306,411
  4. Step 4: Simplify right side
    220,212x = 93,887,700,921
  5. Step 5: Solve for x
    x = 93,887,700,921/220,212
  6. Step 6: Final answer
    x = 426,351.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.