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Finding the Third Proportional to 122,212.13 and 255,585.38

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Solution

The third proportional to 122,212.13 and 255,585.38 is: 534,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,212.13 : 255,585.38 = 255,585.38 : x
  2. Step 2: Convert to fraction form
    122,212.13/255,585.38 = 255,585.38/x
  3. Step 3: Cross multiply
    122,212.13x = 255,585.38 × 255,585.38
  4. Step 4: Simplify right side
    122,212.13x = 65,323,883,913.89
  5. Step 5: Solve for x
    x = 65,323,883,913.89/122,212.13
  6. Step 6: Final answer
    x = 534,512.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.