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Finding the Third Proportional to 197,352.07 and 433,242.42

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Solution

The third proportional to 197,352.07 and 433,242.42 is: 951,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,352.07 : 433,242.42 = 433,242.42 : x
  2. Step 2: Convert to fraction form
    197,352.07/433,242.42 = 433,242.42/x
  3. Step 3: Cross multiply
    197,352.07x = 433,242.42 × 433,242.42
  4. Step 4: Simplify right side
    197,352.07x = 187,698,996,112.12
  5. Step 5: Solve for x
    x = 187,698,996,112.12/197,352.07
  6. Step 6: Final answer
    x = 951,087.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.