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Finding the Third Proportional to 196,217 and 415,808

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Solution

The third proportional to 196,217 and 415,808 is: 881,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,217 : 415,808 = 415,808 : x
  2. Step 2: Convert to fraction form
    196,217/415,808 = 415,808/x
  3. Step 3: Cross multiply
    196,217x = 415,808 × 415,808
  4. Step 4: Simplify right side
    196,217x = 172,896,292,864
  5. Step 5: Solve for x
    x = 172,896,292,864/196,217
  6. Step 6: Final answer
    x = 881,148.39

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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.