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Finding the Third Proportional to 193,110 and 415,596

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Solution

The third proportional to 193,110 and 415,596 is: 894,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,110 : 415,596 = 415,596 : x
  2. Step 2: Convert to fraction form
    193,110/415,596 = 415,596/x
  3. Step 3: Cross multiply
    193,110x = 415,596 × 415,596
  4. Step 4: Simplify right side
    193,110x = 172,720,035,216
  5. Step 5: Solve for x
    x = 172,720,035,216/193,110
  6. Step 6: Final answer
    x = 894,412.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.