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Finding the Third Proportional to 199,108 and 437,582

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Solution

The third proportional to 199,108 and 437,582 is: 961,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,108 : 437,582 = 437,582 : x
  2. Step 2: Convert to fraction form
    199,108/437,582 = 437,582/x
  3. Step 3: Cross multiply
    199,108x = 437,582 × 437,582
  4. Step 4: Simplify right side
    199,108x = 191,478,006,724
  5. Step 5: Solve for x
    x = 191,478,006,724/199,108
  6. Step 6: Final answer
    x = 961,679.12

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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.