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Finding the Third Proportional to 196,263 and 423,612

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Solution

The third proportional to 196,263 and 423,612 is: 914,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,263 : 423,612 = 423,612 : x
  2. Step 2: Convert to fraction form
    196,263/423,612 = 423,612/x
  3. Step 3: Cross multiply
    196,263x = 423,612 × 423,612
  4. Step 4: Simplify right side
    196,263x = 179,447,126,544
  5. Step 5: Solve for x
    x = 179,447,126,544/196,263
  6. Step 6: Final answer
    x = 914,319.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.