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Finding the Third Proportional to 193,203 and 426,539

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Solution

The third proportional to 193,203 and 426,539 is: 941,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,203 : 426,539 = 426,539 : x
  2. Step 2: Convert to fraction form
    193,203/426,539 = 426,539/x
  3. Step 3: Cross multiply
    193,203x = 426,539 × 426,539
  4. Step 4: Simplify right side
    193,203x = 181,935,518,521
  5. Step 5: Solve for x
    x = 181,935,518,521/193,203
  6. Step 6: Final answer
    x = 941,680.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.