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Finding the Third Proportional to 196,442 and 424,186

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Solution

The third proportional to 196,442 and 424,186 is: 915,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,442 : 424,186 = 424,186 : x
  2. Step 2: Convert to fraction form
    196,442/424,186 = 424,186/x
  3. Step 3: Cross multiply
    196,442x = 424,186 × 424,186
  4. Step 4: Simplify right side
    196,442x = 179,933,762,596
  5. Step 5: Solve for x
    x = 179,933,762,596/196,442
  6. Step 6: Final answer
    x = 915,963.81

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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.