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Finding the Third Proportional to 112,992 and 245,408

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Solution

The third proportional to 112,992 and 245,408 is: 533,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,992 : 245,408 = 245,408 : x
  2. Step 2: Convert to fraction form
    112,992/245,408 = 245,408/x
  3. Step 3: Cross multiply
    112,992x = 245,408 × 245,408
  4. Step 4: Simplify right side
    112,992x = 60,225,086,464
  5. Step 5: Solve for x
    x = 60,225,086,464/112,992
  6. Step 6: Final answer
    x = 533,003.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.