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Finding the Third Proportional to 182,960 and 399,584

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Solution

The third proportional to 182,960 and 399,584 is: 872,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,960 : 399,584 = 399,584 : x
  2. Step 2: Convert to fraction form
    182,960/399,584 = 399,584/x
  3. Step 3: Cross multiply
    182,960x = 399,584 × 399,584
  4. Step 4: Simplify right side
    182,960x = 159,667,373,056
  5. Step 5: Solve for x
    x = 159,667,373,056/182,960
  6. Step 6: Final answer
    x = 872,690.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.