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Finding the Third Proportional to 113,973 and 263,827

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Solution

The third proportional to 113,973 and 263,827 is: 610,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,973 : 263,827 = 263,827 : x
  2. Step 2: Convert to fraction form
    113,973/263,827 = 263,827/x
  3. Step 3: Cross multiply
    113,973x = 263,827 × 263,827
  4. Step 4: Simplify right side
    113,973x = 69,604,685,929
  5. Step 5: Solve for x
    x = 69,604,685,929/113,973
  6. Step 6: Final answer
    x = 610,712.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.