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Finding the Third Proportional to 196,291 and 423,668

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Solution

The third proportional to 196,291 and 423,668 is: 914,430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,291 : 423,668 = 423,668 : x
  2. Step 2: Convert to fraction form
    196,291/423,668 = 423,668/x
  3. Step 3: Cross multiply
    196,291x = 423,668 × 423,668
  4. Step 4: Simplify right side
    196,291x = 179,494,574,224
  5. Step 5: Solve for x
    x = 179,494,574,224/196,291
  6. Step 6: Final answer
    x = 914,430.99

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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.