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Finding the Third Proportional to 199,746 and 296,622

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Solution

The third proportional to 199,746 and 296,622 is: 440,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,746 : 296,622 = 296,622 : x
  2. Step 2: Convert to fraction form
    199,746/296,622 = 296,622/x
  3. Step 3: Cross multiply
    199,746x = 296,622 × 296,622
  4. Step 4: Simplify right side
    199,746x = 87,984,610,884
  5. Step 5: Solve for x
    x = 87,984,610,884/199,746
  6. Step 6: Final answer
    x = 440,482.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.