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Finding the Third Proportional to 199,117 and 437,600

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Solution

The third proportional to 199,117 and 437,600 is: 961,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,117 : 437,600 = 437,600 : x
  2. Step 2: Convert to fraction form
    199,117/437,600 = 437,600/x
  3. Step 3: Cross multiply
    199,117x = 437,600 × 437,600
  4. Step 4: Simplify right side
    199,117x = 191,493,760,000
  5. Step 5: Solve for x
    x = 191,493,760,000/199,117
  6. Step 6: Final answer
    x = 961,714.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.