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Finding the Third Proportional to 113,816 and 248,364

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Solution

The third proportional to 113,816 and 248,364 is: 541,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,816 : 248,364 = 248,364 : x
  2. Step 2: Convert to fraction form
    113,816/248,364 = 248,364/x
  3. Step 3: Cross multiply
    113,816x = 248,364 × 248,364
  4. Step 4: Simplify right side
    113,816x = 61,684,676,496
  5. Step 5: Solve for x
    x = 61,684,676,496/113,816
  6. Step 6: Final answer
    x = 541,968.41

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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.