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Finding the Third Proportional to 196,265 and 423,616

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Solution

The third proportional to 196,265 and 423,616 is: 914,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,265 : 423,616 = 423,616 : x
  2. Step 2: Convert to fraction form
    196,265/423,616 = 423,616/x
  3. Step 3: Cross multiply
    196,265x = 423,616 × 423,616
  4. Step 4: Simplify right side
    196,265x = 179,450,515,456
  5. Step 5: Solve for x
    x = 179,450,515,456/196,265
  6. Step 6: Final answer
    x = 914,327.65

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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.