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Finding the Third Proportional to 196,392 and 431,016

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Solution

The third proportional to 196,392 and 431,016 is: 945,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,392 : 431,016 = 431,016 : x
  2. Step 2: Convert to fraction form
    196,392/431,016 = 431,016/x
  3. Step 3: Cross multiply
    196,392x = 431,016 × 431,016
  4. Step 4: Simplify right side
    196,392x = 185,774,792,256
  5. Step 5: Solve for x
    x = 185,774,792,256/196,392
  6. Step 6: Final answer
    x = 945,938.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.