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Finding the Third Proportional to 122,833 and 258,710

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Solution

The third proportional to 122,833 and 258,710 is: 544,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,833 : 258,710 = 258,710 : x
  2. Step 2: Convert to fraction form
    122,833/258,710 = 258,710/x
  3. Step 3: Cross multiply
    122,833x = 258,710 × 258,710
  4. Step 4: Simplify right side
    122,833x = 66,930,864,100
  5. Step 5: Solve for x
    x = 66,930,864,100/122,833
  6. Step 6: Final answer
    x = 544,893.18

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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.