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Finding the Third Proportional to 113,364 and 248,256

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Solution

The third proportional to 113,364 and 248,256 is: 543,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,364 : 248,256 = 248,256 : x
  2. Step 2: Convert to fraction form
    113,364/248,256 = 248,256/x
  3. Step 3: Cross multiply
    113,364x = 248,256 × 248,256
  4. Step 4: Simplify right side
    113,364x = 61,631,041,536
  5. Step 5: Solve for x
    x = 61,631,041,536/113,364
  6. Step 6: Final answer
    x = 543,656.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.