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Finding the Third Proportional to 196,366 and 424,100

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Solution

The third proportional to 196,366 and 424,100 is: 915,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,366 : 424,100 = 424,100 : x
  2. Step 2: Convert to fraction form
    196,366/424,100 = 424,100/x
  3. Step 3: Cross multiply
    196,366x = 424,100 × 424,100
  4. Step 4: Simplify right side
    196,366x = 179,860,810,000
  5. Step 5: Solve for x
    x = 179,860,810,000/196,366
  6. Step 6: Final answer
    x = 915,946.80

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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.