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Finding the Third Proportional to 197,528.63 and 466,104.38

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Solution

The third proportional to 197,528.63 and 466,104.38 is: 1,099,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,528.63 : 466,104.38 = 466,104.38 : x
  2. Step 2: Convert to fraction form
    197,528.63/466,104.38 = 466,104.38/x
  3. Step 3: Cross multiply
    197,528.63x = 466,104.38 × 466,104.38
  4. Step 4: Simplify right side
    197,528.63x = 217,253,288,394.14
  5. Step 5: Solve for x
    x = 217,253,288,394.14/197,528.63
  6. Step 6: Final answer
    x = 1,099,857.24

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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.