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Finding the Third Proportional to 196,514.50 and 296,401.75

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Solution

The third proportional to 196,514.50 and 296,401.75 is: 447,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,514.50 : 296,401.75 = 296,401.75 : x
  2. Step 2: Convert to fraction form
    196,514.50/296,401.75 = 296,401.75/x
  3. Step 3: Cross multiply
    196,514.50x = 296,401.75 × 296,401.75
  4. Step 4: Simplify right side
    196,514.50x = 87,853,997,403.06
  5. Step 5: Solve for x
    x = 87,853,997,403.06/196,514.50
  6. Step 6: Final answer
    x = 447,061.15

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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.