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Finding the Third Proportional to 122,641 and 254,508.38

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Solution

The third proportional to 122,641 and 254,508.38 is: 528,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,641 : 254,508.38 = 254,508.38 : x
  2. Step 2: Convert to fraction form
    122,641/254,508.38 = 254,508.38/x
  3. Step 3: Cross multiply
    122,641x = 254,508.38 × 254,508.38
  4. Step 4: Simplify right side
    122,641x = 64,774,512,945.14
  5. Step 5: Solve for x
    x = 64,774,512,945.14/122,641
  6. Step 6: Final answer
    x = 528,163.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.