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Finding the Third Proportional to 193,454 and 426,134

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Solution

The third proportional to 193,454 and 426,134 is: 938,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,454 : 426,134 = 426,134 : x
  2. Step 2: Convert to fraction form
    193,454/426,134 = 426,134/x
  3. Step 3: Cross multiply
    193,454x = 426,134 × 426,134
  4. Step 4: Simplify right side
    193,454x = 181,590,185,956
  5. Step 5: Solve for x
    x = 181,590,185,956/193,454
  6. Step 6: Final answer
    x = 938,673.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.