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Finding the Third Proportional to 197,356.50 and 477,211.50

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Solution

The third proportional to 197,356.50 and 477,211.50 is: 1,153,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,356.50 : 477,211.50 = 477,211.50 : x
  2. Step 2: Convert to fraction form
    197,356.50/477,211.50 = 477,211.50/x
  3. Step 3: Cross multiply
    197,356.50x = 477,211.50 × 477,211.50
  4. Step 4: Simplify right side
    197,356.50x = 227,730,815,732.25
  5. Step 5: Solve for x
    x = 227,730,815,732.25/197,356.50
  6. Step 6: Final answer
    x = 1,153,905.83

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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.