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Finding the Third Proportional to 122,330.25 and 248,118.19

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Solution

The third proportional to 122,330.25 and 248,118.19 is: 503,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,330.25 : 248,118.19 = 248,118.19 : x
  2. Step 2: Convert to fraction form
    122,330.25/248,118.19 = 248,118.19/x
  3. Step 3: Cross multiply
    122,330.25x = 248,118.19 × 248,118.19
  4. Step 4: Simplify right side
    122,330.25x = 61,562,634,968.29
  5. Step 5: Solve for x
    x = 61,562,634,968.29/122,330.25
  6. Step 6: Final answer
    x = 503,249.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.