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Finding the Third Proportional to 199,106 and 437,578

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Solution

The third proportional to 199,106 and 437,578 is: 961,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,106 : 437,578 = 437,578 : x
  2. Step 2: Convert to fraction form
    199,106/437,578 = 437,578/x
  3. Step 3: Cross multiply
    199,106x = 437,578 × 437,578
  4. Step 4: Simplify right side
    199,106x = 191,474,506,084
  5. Step 5: Solve for x
    x = 191,474,506,084/199,106
  6. Step 6: Final answer
    x = 961,671.20

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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.