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Finding the Third Proportional to 196,885.50 and 291,177

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Solution

The third proportional to 196,885.50 and 291,177 is: 430,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,885.50 : 291,177 = 291,177 : x
  2. Step 2: Convert to fraction form
    196,885.50/291,177 = 291,177/x
  3. Step 3: Cross multiply
    196,885.50x = 291,177 × 291,177
  4. Step 4: Simplify right side
    196,885.50x = 84,784,045,329
  5. Step 5: Solve for x
    x = 84,784,045,329/196,885.50
  6. Step 6: Final answer
    x = 430,626.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.