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Finding the Third Proportional to 193,942 and 411,360

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Solution

The third proportional to 193,942 and 411,360 is: 872,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,942 : 411,360 = 411,360 : x
  2. Step 2: Convert to fraction form
    193,942/411,360 = 411,360/x
  3. Step 3: Cross multiply
    193,942x = 411,360 × 411,360
  4. Step 4: Simplify right side
    193,942x = 169,217,049,600
  5. Step 5: Solve for x
    x = 169,217,049,600/193,942
  6. Step 6: Final answer
    x = 872,513.69

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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.