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Finding the Third Proportional to 193,746 and 410,538

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Solution

The third proportional to 193,746 and 410,538 is: 869,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,746 : 410,538 = 410,538 : x
  2. Step 2: Convert to fraction form
    193,746/410,538 = 410,538/x
  3. Step 3: Cross multiply
    193,746x = 410,538 × 410,538
  4. Step 4: Simplify right side
    193,746x = 168,541,449,444
  5. Step 5: Solve for x
    x = 168,541,449,444/193,746
  6. Step 6: Final answer
    x = 869,909.31

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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.