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Finding the Third Proportional to 196,242 and 423,882

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Solution

The third proportional to 196,242 and 423,882 is: 915,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,242 : 423,882 = 423,882 : x
  2. Step 2: Convert to fraction form
    196,242/423,882 = 423,882/x
  3. Step 3: Cross multiply
    196,242x = 423,882 × 423,882
  4. Step 4: Simplify right side
    196,242x = 179,675,949,924
  5. Step 5: Solve for x
    x = 179,675,949,924/196,242
  6. Step 6: Final answer
    x = 915,583.56

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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.