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Finding the Third Proportional to 222,100 and 357,680

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Solution

The third proportional to 222,100 and 357,680 is: 576,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,100 : 357,680 = 357,680 : x
  2. Step 2: Convert to fraction form
    222,100/357,680 = 357,680/x
  3. Step 3: Cross multiply
    222,100x = 357,680 × 357,680
  4. Step 4: Simplify right side
    222,100x = 127,934,982,400
  5. Step 5: Solve for x
    x = 127,934,982,400/222,100
  6. Step 6: Final answer
    x = 576,024.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.