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Finding the Third Proportional to 196,983 and 286,857

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Solution

The third proportional to 196,983 and 286,857 is: 417,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,983 : 286,857 = 286,857 : x
  2. Step 2: Convert to fraction form
    196,983/286,857 = 286,857/x
  3. Step 3: Cross multiply
    196,983x = 286,857 × 286,857
  4. Step 4: Simplify right side
    196,983x = 82,286,938,449
  5. Step 5: Solve for x
    x = 82,286,938,449/196,983
  6. Step 6: Final answer
    x = 417,736.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.