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Finding the Third Proportional to 196,354 and 424,039

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Solution

The third proportional to 196,354 and 424,039 is: 915,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,354 : 424,039 = 424,039 : x
  2. Step 2: Convert to fraction form
    196,354/424,039 = 424,039/x
  3. Step 3: Cross multiply
    196,354x = 424,039 × 424,039
  4. Step 4: Simplify right side
    196,354x = 179,809,073,521
  5. Step 5: Solve for x
    x = 179,809,073,521/196,354
  6. Step 6: Final answer
    x = 915,739.29

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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.