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Finding the Third Proportional to 196,087 and 415,718

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Solution

The third proportional to 196,087 and 415,718 is: 881,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,087 : 415,718 = 415,718 : x
  2. Step 2: Convert to fraction form
    196,087/415,718 = 415,718/x
  3. Step 3: Cross multiply
    196,087x = 415,718 × 415,718
  4. Step 4: Simplify right side
    196,087x = 172,821,455,524
  5. Step 5: Solve for x
    x = 172,821,455,524/196,087
  6. Step 6: Final answer
    x = 881,350.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.