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Finding the Third Proportional to 196,354.13 and 423,721.13

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Solution

The third proportional to 196,354.13 and 423,721.13 is: 914,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,354.13 : 423,721.13 = 423,721.13 : x
  2. Step 2: Convert to fraction form
    196,354.13/423,721.13 = 423,721.13/x
  3. Step 3: Cross multiply
    196,354.13x = 423,721.13 × 423,721.13
  4. Step 4: Simplify right side
    196,354.13x = 179,539,591,771.27
  5. Step 5: Solve for x
    x = 179,539,591,771.27/196,354.13
  6. Step 6: Final answer
    x = 914,366.28

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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.