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Finding the Third Proportional to 192,931 and 413,550

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Solution

The third proportional to 192,931 and 413,550 is: 886,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,931 : 413,550 = 413,550 : x
  2. Step 2: Convert to fraction form
    192,931/413,550 = 413,550/x
  3. Step 3: Cross multiply
    192,931x = 413,550 × 413,550
  4. Step 4: Simplify right side
    192,931x = 171,023,602,500
  5. Step 5: Solve for x
    x = 171,023,602,500/192,931
  6. Step 6: Final answer
    x = 886,449.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.