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Finding the Third Proportional to 185,900 and 280,594

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Solution

The third proportional to 185,900 and 280,594 is: 423,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,900 : 280,594 = 280,594 : x
  2. Step 2: Convert to fraction form
    185,900/280,594 = 280,594/x
  3. Step 3: Cross multiply
    185,900x = 280,594 × 280,594
  4. Step 4: Simplify right side
    185,900x = 78,732,992,836
  5. Step 5: Solve for x
    x = 78,732,992,836/185,900
  6. Step 6: Final answer
    x = 423,523.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.