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Finding the Third Proportional to 112,974 and 245,622

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Solution

The third proportional to 112,974 and 245,622 is: 534,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,974 : 245,622 = 245,622 : x
  2. Step 2: Convert to fraction form
    112,974/245,622 = 245,622/x
  3. Step 3: Cross multiply
    112,974x = 245,622 × 245,622
  4. Step 4: Simplify right side
    112,974x = 60,330,166,884
  5. Step 5: Solve for x
    x = 60,330,166,884/112,974
  6. Step 6: Final answer
    x = 534,018.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.