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Finding the Third Proportional to 112,646 and 239,052

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Solution

The third proportional to 112,646 and 239,052 is: 507,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,646 : 239,052 = 239,052 : x
  2. Step 2: Convert to fraction form
    112,646/239,052 = 239,052/x
  3. Step 3: Cross multiply
    112,646x = 239,052 × 239,052
  4. Step 4: Simplify right side
    112,646x = 57,145,858,704
  5. Step 5: Solve for x
    x = 57,145,858,704/112,646
  6. Step 6: Final answer
    x = 507,304.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.