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Finding the Third Proportional to 110,887 and 238,378

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Solution

The third proportional to 110,887 and 238,378 is: 512,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,887 : 238,378 = 238,378 : x
  2. Step 2: Convert to fraction form
    110,887/238,378 = 238,378/x
  3. Step 3: Cross multiply
    110,887x = 238,378 × 238,378
  4. Step 4: Simplify right side
    110,887x = 56,824,070,884
  5. Step 5: Solve for x
    x = 56,824,070,884/110,887
  6. Step 6: Final answer
    x = 512,450.25

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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.