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Finding the Third Proportional to 181,968 and 398,898

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Solution

The third proportional to 181,968 and 398,898 is: 874,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,968 : 398,898 = 398,898 : x
  2. Step 2: Convert to fraction form
    181,968/398,898 = 398,898/x
  3. Step 3: Cross multiply
    181,968x = 398,898 × 398,898
  4. Step 4: Simplify right side
    181,968x = 159,119,614,404
  5. Step 5: Solve for x
    x = 159,119,614,404/181,968
  6. Step 6: Final answer
    x = 874,437.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.