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Finding the Third Proportional to 196,560 and 296,466.75

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Solution

The third proportional to 196,560 and 296,466.75 is: 447,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,560 : 296,466.75 = 296,466.75 : x
  2. Step 2: Convert to fraction form
    196,560/296,466.75 = 296,466.75/x
  3. Step 3: Cross multiply
    196,560x = 296,466.75 × 296,466.75
  4. Step 4: Simplify right side
    196,560x = 87,892,533,855.56
  5. Step 5: Solve for x
    x = 87,892,533,855.56/196,560
  6. Step 6: Final answer
    x = 447,153.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.