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Finding the Third Proportional to 196,107 and 414,246

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Solution

The third proportional to 196,107 and 414,246 is: 875,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,107 : 414,246 = 414,246 : x
  2. Step 2: Convert to fraction form
    196,107/414,246 = 414,246/x
  3. Step 3: Cross multiply
    196,107x = 414,246 × 414,246
  4. Step 4: Simplify right side
    196,107x = 171,599,748,516
  5. Step 5: Solve for x
    x = 171,599,748,516/196,107
  6. Step 6: Final answer
    x = 875,031.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.