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Finding the Third Proportional to 112,858 and 242,708

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Solution

The third proportional to 112,858 and 242,708 is: 521,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,858 : 242,708 = 242,708 : x
  2. Step 2: Convert to fraction form
    112,858/242,708 = 242,708/x
  3. Step 3: Cross multiply
    112,858x = 242,708 × 242,708
  4. Step 4: Simplify right side
    112,858x = 58,907,173,264
  5. Step 5: Solve for x
    x = 58,907,173,264/112,858
  6. Step 6: Final answer
    x = 521,958.33

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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.