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Finding the Third Proportional to 188,830 and 408,638

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Solution

The third proportional to 188,830 and 408,638 is: 884,314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,830 : 408,638 = 408,638 : x
  2. Step 2: Convert to fraction form
    188,830/408,638 = 408,638/x
  3. Step 3: Cross multiply
    188,830x = 408,638 × 408,638
  4. Step 4: Simplify right side
    188,830x = 166,985,015,044
  5. Step 5: Solve for x
    x = 166,985,015,044/188,830
  6. Step 6: Final answer
    x = 884,314.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.