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Finding the Third Proportional to 196,450 and 424,292

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Solution

The third proportional to 196,450 and 424,292 is: 916,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,450 : 424,292 = 424,292 : x
  2. Step 2: Convert to fraction form
    196,450/424,292 = 424,292/x
  3. Step 3: Cross multiply
    196,450x = 424,292 × 424,292
  4. Step 4: Simplify right side
    196,450x = 180,023,701,264
  5. Step 5: Solve for x
    x = 180,023,701,264/196,450
  6. Step 6: Final answer
    x = 916,384.33

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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.