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Finding the Third Proportional to 112,744 and 242,930

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Solution

The third proportional to 112,744 and 242,930 is: 523,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,744 : 242,930 = 242,930 : x
  2. Step 2: Convert to fraction form
    112,744/242,930 = 242,930/x
  3. Step 3: Cross multiply
    112,744x = 242,930 × 242,930
  4. Step 4: Simplify right side
    112,744x = 59,014,984,900
  5. Step 5: Solve for x
    x = 59,014,984,900/112,744
  6. Step 6: Final answer
    x = 523,442.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.