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Finding the Third Proportional to 196,560.75 and 294,532.88

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Solution

The third proportional to 196,560.75 and 294,532.88 is: 441,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,560.75 : 294,532.88 = 294,532.88 : x
  2. Step 2: Convert to fraction form
    196,560.75/294,532.88 = 294,532.88/x
  3. Step 3: Cross multiply
    196,560.75x = 294,532.88 × 294,532.88
  4. Step 4: Simplify right side
    196,560.75x = 86,749,614,455.77
  5. Step 5: Solve for x
    x = 86,749,614,455.77/196,560.75
  6. Step 6: Final answer
    x = 441,337.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.