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Finding the Third Proportional to 196,114 and 294,115

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Solution

The third proportional to 196,114 and 294,115 is: 441,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,114 : 294,115 = 294,115 : x
  2. Step 2: Convert to fraction form
    196,114/294,115 = 294,115/x
  3. Step 3: Cross multiply
    196,114x = 294,115 × 294,115
  4. Step 4: Simplify right side
    196,114x = 86,503,633,225
  5. Step 5: Solve for x
    x = 86,503,633,225/196,114
  6. Step 6: Final answer
    x = 441,088.52

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Why These Related Problems?

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