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Finding the Third Proportional to 197,357.50 and 477,214

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Solution

The third proportional to 197,357.50 and 477,214 is: 1,153,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,357.50 : 477,214 = 477,214 : x
  2. Step 2: Convert to fraction form
    197,357.50/477,214 = 477,214/x
  3. Step 3: Cross multiply
    197,357.50x = 477,214 × 477,214
  4. Step 4: Simplify right side
    197,357.50x = 227,733,201,796
  5. Step 5: Solve for x
    x = 227,733,201,796/197,357.50
  6. Step 6: Final answer
    x = 1,153,912.07

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.