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Finding the Third Proportional to 112,906 and 246,548

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Solution

The third proportional to 112,906 and 246,548 is: 538,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,906 : 246,548 = 246,548 : x
  2. Step 2: Convert to fraction form
    112,906/246,548 = 246,548/x
  3. Step 3: Cross multiply
    112,906x = 246,548 × 246,548
  4. Step 4: Simplify right side
    112,906x = 60,785,916,304
  5. Step 5: Solve for x
    x = 60,785,916,304/112,906
  6. Step 6: Final answer
    x = 538,376.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.