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Finding the Third Proportional to 197,859 and 306,900

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Solution

The third proportional to 197,859 and 306,900 is: 476,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,859 : 306,900 = 306,900 : x
  2. Step 2: Convert to fraction form
    197,859/306,900 = 306,900/x
  3. Step 3: Cross multiply
    197,859x = 306,900 × 306,900
  4. Step 4: Simplify right side
    197,859x = 94,187,610,000
  5. Step 5: Solve for x
    x = 94,187,610,000/197,859
  6. Step 6: Final answer
    x = 476,033.99

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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.