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Finding the Third Proportional to 197,802 and 310,068

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Solution

The third proportional to 197,802 and 310,068 is: 486,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,802 : 310,068 = 310,068 : x
  2. Step 2: Convert to fraction form
    197,802/310,068 = 310,068/x
  3. Step 3: Cross multiply
    197,802x = 310,068 × 310,068
  4. Step 4: Simplify right side
    197,802x = 96,142,164,624
  5. Step 5: Solve for x
    x = 96,142,164,624/197,802
  6. Step 6: Final answer
    x = 486,052.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.