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Finding the Third Proportional to 196,681 and 431,269

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Solution

The third proportional to 196,681 and 431,269 is: 945,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,681 : 431,269 = 431,269 : x
  2. Step 2: Convert to fraction form
    196,681/431,269 = 431,269/x
  3. Step 3: Cross multiply
    196,681x = 431,269 × 431,269
  4. Step 4: Simplify right side
    196,681x = 185,992,950,361
  5. Step 5: Solve for x
    x = 185,992,950,361/196,681
  6. Step 6: Final answer
    x = 945,657.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.