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Finding the Third Proportional to 119,601 and 251,594

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Solution

The third proportional to 119,601 and 251,594 is: 529,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,601 : 251,594 = 251,594 : x
  2. Step 2: Convert to fraction form
    119,601/251,594 = 251,594/x
  3. Step 3: Cross multiply
    119,601x = 251,594 × 251,594
  4. Step 4: Simplify right side
    119,601x = 63,299,540,836
  5. Step 5: Solve for x
    x = 63,299,540,836/119,601
  6. Step 6: Final answer
    x = 529,255.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.