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Finding the Third Proportional to 199,098 and 437,562

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Solution

The third proportional to 199,098 and 437,562 is: 961,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,098 : 437,562 = 437,562 : x
  2. Step 2: Convert to fraction form
    199,098/437,562 = 437,562/x
  3. Step 3: Cross multiply
    199,098x = 437,562 × 437,562
  4. Step 4: Simplify right side
    199,098x = 191,460,503,844
  5. Step 5: Solve for x
    x = 191,460,503,844/199,098
  6. Step 6: Final answer
    x = 961,639.51

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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.