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Finding the Third Proportional to 113,518.50 and 240,873

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Solution

The third proportional to 113,518.50 and 240,873 is: 511,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,518.50 : 240,873 = 240,873 : x
  2. Step 2: Convert to fraction form
    113,518.50/240,873 = 240,873/x
  3. Step 3: Cross multiply
    113,518.50x = 240,873 × 240,873
  4. Step 4: Simplify right side
    113,518.50x = 58,019,802,129
  5. Step 5: Solve for x
    x = 58,019,802,129/113,518.50
  6. Step 6: Final answer
    x = 511,104.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.