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Finding the Third Proportional to 193,890 and 410,136

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Solution

The third proportional to 193,890 and 410,136 is: 867,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,890 : 410,136 = 410,136 : x
  2. Step 2: Convert to fraction form
    193,890/410,136 = 410,136/x
  3. Step 3: Cross multiply
    193,890x = 410,136 × 410,136
  4. Step 4: Simplify right side
    193,890x = 168,211,538,496
  5. Step 5: Solve for x
    x = 168,211,538,496/193,890
  6. Step 6: Final answer
    x = 867,561.70

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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.