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Finding the Third Proportional to 197,502.75 and 385,152.75

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Solution

The third proportional to 197,502.75 and 385,152.75 is: 751,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,502.75 : 385,152.75 = 385,152.75 : x
  2. Step 2: Convert to fraction form
    197,502.75/385,152.75 = 385,152.75/x
  3. Step 3: Cross multiply
    197,502.75x = 385,152.75 × 385,152.75
  4. Step 4: Simplify right side
    197,502.75x = 148,342,640,832.56
  5. Step 5: Solve for x
    x = 148,342,640,832.56/197,502.75
  6. Step 6: Final answer
    x = 751,091.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.