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Finding the Third Proportional to 193,811.25 and 411,102.38

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Solution

The third proportional to 193,811.25 and 411,102.38 is: 872,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,811.25 : 411,102.38 = 411,102.38 : x
  2. Step 2: Convert to fraction form
    193,811.25/411,102.38 = 411,102.38/x
  3. Step 3: Cross multiply
    193,811.25x = 411,102.38 × 411,102.38
  4. Step 4: Simplify right side
    193,811.25x = 169,005,162,730.64
  5. Step 5: Solve for x
    x = 169,005,162,730.64/193,811.25
  6. Step 6: Final answer
    x = 872,009.04

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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.