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Finding the Third Proportional to 191,542 and 289,976

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Solution

The third proportional to 191,542 and 289,976 is: 438,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,542 : 289,976 = 289,976 : x
  2. Step 2: Convert to fraction form
    191,542/289,976 = 289,976/x
  3. Step 3: Cross multiply
    191,542x = 289,976 × 289,976
  4. Step 4: Simplify right side
    191,542x = 84,086,080,576
  5. Step 5: Solve for x
    x = 84,086,080,576/191,542
  6. Step 6: Final answer
    x = 438,995.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.