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Finding the Third Proportional to 193,852 and 411,180

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Solution

The third proportional to 193,852 and 411,180 is: 872,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,852 : 411,180 = 411,180 : x
  2. Step 2: Convert to fraction form
    193,852/411,180 = 411,180/x
  3. Step 3: Cross multiply
    193,852x = 411,180 × 411,180
  4. Step 4: Simplify right side
    193,852x = 169,068,992,400
  5. Step 5: Solve for x
    x = 169,068,992,400/193,852
  6. Step 6: Final answer
    x = 872,155.01

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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.