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Finding the Third Proportional to 113,764 and 248,263

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Solution

The third proportional to 113,764 and 248,263 is: 541,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,764 : 248,263 = 248,263 : x
  2. Step 2: Convert to fraction form
    113,764/248,263 = 248,263/x
  3. Step 3: Cross multiply
    113,764x = 248,263 × 248,263
  4. Step 4: Simplify right side
    113,764x = 61,634,517,169
  5. Step 5: Solve for x
    x = 61,634,517,169/113,764
  6. Step 6: Final answer
    x = 541,775.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.