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Finding the Third Proportional to 181,324 and 299,661

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Solution

The third proportional to 181,324 and 299,661 is: 495,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,324 : 299,661 = 299,661 : x
  2. Step 2: Convert to fraction form
    181,324/299,661 = 299,661/x
  3. Step 3: Cross multiply
    181,324x = 299,661 × 299,661
  4. Step 4: Simplify right side
    181,324x = 89,796,714,921
  5. Step 5: Solve for x
    x = 89,796,714,921/181,324
  6. Step 6: Final answer
    x = 495,227.96

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.