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Finding the Third Proportional to 112,230 and 241,952

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Solution

The third proportional to 112,230 and 241,952 is: 521,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,230 : 241,952 = 241,952 : x
  2. Step 2: Convert to fraction form
    112,230/241,952 = 241,952/x
  3. Step 3: Cross multiply
    112,230x = 241,952 × 241,952
  4. Step 4: Simplify right side
    112,230x = 58,540,770,304
  5. Step 5: Solve for x
    x = 58,540,770,304/112,230
  6. Step 6: Final answer
    x = 521,614.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.