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Finding the Third Proportional to 196,353.38 and 423,719.63

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Solution

The third proportional to 196,353.38 and 423,719.63 is: 914,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,353.38 : 423,719.63 = 423,719.63 : x
  2. Step 2: Convert to fraction form
    196,353.38/423,719.63 = 423,719.63/x
  3. Step 3: Cross multiply
    196,353.38x = 423,719.63 × 423,719.63
  4. Step 4: Simplify right side
    196,353.38x = 179,538,320,610.14
  5. Step 5: Solve for x
    x = 179,538,320,610.14/196,353.38
  6. Step 6: Final answer
    x = 914,363.30

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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.