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Finding the Third Proportional to 185,440 and 279,024

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Solution

The third proportional to 185,440 and 279,024 is: 419,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,440 : 279,024 = 279,024 : x
  2. Step 2: Convert to fraction form
    185,440/279,024 = 279,024/x
  3. Step 3: Cross multiply
    185,440x = 279,024 × 279,024
  4. Step 4: Simplify right side
    185,440x = 77,854,392,576
  5. Step 5: Solve for x
    x = 77,854,392,576/185,440
  6. Step 6: Final answer
    x = 419,836.03

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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.