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Finding the Third Proportional to 197,783 and 306,062

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Solution

The third proportional to 197,783 and 306,062 is: 473,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,783 : 306,062 = 306,062 : x
  2. Step 2: Convert to fraction form
    197,783/306,062 = 306,062/x
  3. Step 3: Cross multiply
    197,783x = 306,062 × 306,062
  4. Step 4: Simplify right side
    197,783x = 93,673,947,844
  5. Step 5: Solve for x
    x = 93,673,947,844/197,783
  6. Step 6: Final answer
    x = 473,619.81

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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.