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Finding the Third Proportional to 197,353 and 433,244.50

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Solution

The third proportional to 197,353 and 433,244.50 is: 951,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,353 : 433,244.50 = 433,244.50 : x
  2. Step 2: Convert to fraction form
    197,353/433,244.50 = 433,244.50/x
  3. Step 3: Cross multiply
    197,353x = 433,244.50 × 433,244.50
  4. Step 4: Simplify right side
    197,353x = 187,700,796,780.25
  5. Step 5: Solve for x
    x = 187,700,796,780.25/197,353
  6. Step 6: Final answer
    x = 951,091.68

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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.