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Finding the Third Proportional to 122,796 and 258,633

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Solution

The third proportional to 122,796 and 258,633 is: 544,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796 : 258,633 = 258,633 : x
  2. Step 2: Convert to fraction form
    122,796/258,633 = 258,633/x
  3. Step 3: Cross multiply
    122,796x = 258,633 × 258,633
  4. Step 4: Simplify right side
    122,796x = 66,891,028,689
  5. Step 5: Solve for x
    x = 66,891,028,689/122,796
  6. Step 6: Final answer
    x = 544,732.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.