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Finding the Third Proportional to 197,796.75 and 306,468

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Solution

The third proportional to 197,796.75 and 306,468 is: 474,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,796.75 : 306,468 = 306,468 : x
  2. Step 2: Convert to fraction form
    197,796.75/306,468 = 306,468/x
  3. Step 3: Cross multiply
    197,796.75x = 306,468 × 306,468
  4. Step 4: Simplify right side
    197,796.75x = 93,922,635,024
  5. Step 5: Solve for x
    x = 93,922,635,024/197,796.75
  6. Step 6: Final answer
    x = 474,844.18

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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.