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Finding the Third Proportional to 181,404 and 272,803

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Solution

The third proportional to 181,404 and 272,803 is: 410,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,404 : 272,803 = 272,803 : x
  2. Step 2: Convert to fraction form
    181,404/272,803 = 272,803/x
  3. Step 3: Cross multiply
    181,404x = 272,803 × 272,803
  4. Step 4: Simplify right side
    181,404x = 74,421,476,809
  5. Step 5: Solve for x
    x = 74,421,476,809/181,404
  6. Step 6: Final answer
    x = 410,252.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.