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Finding the Third Proportional to 245,571 and 366,844

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Solution

The third proportional to 245,571 and 366,844 is: 548,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,571 : 366,844 = 366,844 : x
  2. Step 2: Convert to fraction form
    245,571/366,844 = 366,844/x
  3. Step 3: Cross multiply
    245,571x = 366,844 × 366,844
  4. Step 4: Simplify right side
    245,571x = 134,574,520,336
  5. Step 5: Solve for x
    x = 134,574,520,336/245,571
  6. Step 6: Final answer
    x = 548,006.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.