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Finding the Third Proportional to 196,203.38 and 423,767.25

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Solution

The third proportional to 196,203.38 and 423,767.25 is: 915,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,203.38 : 423,767.25 = 423,767.25 : x
  2. Step 2: Convert to fraction form
    196,203.38/423,767.25 = 423,767.25/x
  3. Step 3: Cross multiply
    196,203.38x = 423,767.25 × 423,767.25
  4. Step 4: Simplify right side
    196,203.38x = 179,578,682,172.56
  5. Step 5: Solve for x
    x = 179,578,682,172.56/196,203.38
  6. Step 6: Final answer
    x = 915,268.06

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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.