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Finding the Third Proportional to 197,596 and 306,531

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Solution

The third proportional to 197,596 and 306,531 is: 475,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,596 : 306,531 = 306,531 : x
  2. Step 2: Convert to fraction form
    197,596/306,531 = 306,531/x
  3. Step 3: Cross multiply
    197,596x = 306,531 × 306,531
  4. Step 4: Simplify right side
    197,596x = 93,961,253,961
  5. Step 5: Solve for x
    x = 93,961,253,961/197,596
  6. Step 6: Final answer
    x = 475,522.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.