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Finding the Third Proportional to 181,784 and 279,024

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Solution

The third proportional to 181,784 and 279,024 is: 428,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,784 : 279,024 = 279,024 : x
  2. Step 2: Convert to fraction form
    181,784/279,024 = 279,024/x
  3. Step 3: Cross multiply
    181,784x = 279,024 × 279,024
  4. Step 4: Simplify right side
    181,784x = 77,854,392,576
  5. Step 5: Solve for x
    x = 77,854,392,576/181,784
  6. Step 6: Final answer
    x = 428,279.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.