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Finding the Third Proportional to 115,083.50 and 246,157

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Solution

The third proportional to 115,083.50 and 246,157 is: 526,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,083.50 : 246,157 = 246,157 : x
  2. Step 2: Convert to fraction form
    115,083.50/246,157 = 246,157/x
  3. Step 3: Cross multiply
    115,083.50x = 246,157 × 246,157
  4. Step 4: Simplify right side
    115,083.50x = 60,593,268,649
  5. Step 5: Solve for x
    x = 60,593,268,649/115,083.50
  6. Step 6: Final answer
    x = 526,515.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.