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Finding the Third Proportional to 197,815.50 and 466,537.50

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Solution

The third proportional to 197,815.50 and 466,537.50 is: 1,100,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,815.50 : 466,537.50 = 466,537.50 : x
  2. Step 2: Convert to fraction form
    197,815.50/466,537.50 = 466,537.50/x
  3. Step 3: Cross multiply
    197,815.50x = 466,537.50 × 466,537.50
  4. Step 4: Simplify right side
    197,815.50x = 217,657,238,906.25
  5. Step 5: Solve for x
    x = 217,657,238,906.25/197,815.50
  6. Step 6: Final answer
    x = 1,100,304.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.