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Finding the Third Proportional to 122,487.19 and 263,746.13

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Solution

The third proportional to 122,487.19 and 263,746.13 is: 567,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,487.19 : 263,746.13 = 263,746.13 : x
  2. Step 2: Convert to fraction form
    122,487.19/263,746.13 = 263,746.13/x
  3. Step 3: Cross multiply
    122,487.19x = 263,746.13 × 263,746.13
  4. Step 4: Simplify right side
    122,487.19x = 69,562,018,452.52
  5. Step 5: Solve for x
    x = 69,562,018,452.52/122,487.19
  6. Step 6: Final answer
    x = 567,912.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.