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Finding the Third Proportional to 112,297.50 and 241,024.50

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Solution

The third proportional to 112,297.50 and 241,024.50 is: 517,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,297.50 : 241,024.50 = 241,024.50 : x
  2. Step 2: Convert to fraction form
    112,297.50/241,024.50 = 241,024.50/x
  3. Step 3: Cross multiply
    112,297.50x = 241,024.50 × 241,024.50
  4. Step 4: Simplify right side
    112,297.50x = 58,092,809,600.25
  5. Step 5: Solve for x
    x = 58,092,809,600.25/112,297.50
  6. Step 6: Final answer
    x = 517,311.69

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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.