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Finding the Third Proportional to 246,613.50 and 334,197

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Solution

The third proportional to 246,613.50 and 334,197 is: 452,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,613.50 : 334,197 = 334,197 : x
  2. Step 2: Convert to fraction form
    246,613.50/334,197 = 334,197/x
  3. Step 3: Cross multiply
    246,613.50x = 334,197 × 334,197
  4. Step 4: Simplify right side
    246,613.50x = 111,687,634,809
  5. Step 5: Solve for x
    x = 111,687,634,809/246,613.50
  6. Step 6: Final answer
    x = 452,885.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.