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Finding the Third Proportional to 109,147.50 and 241,236

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Solution

The third proportional to 109,147.50 and 241,236 is: 533,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,147.50 : 241,236 = 241,236 : x
  2. Step 2: Convert to fraction form
    109,147.50/241,236 = 241,236/x
  3. Step 3: Cross multiply
    109,147.50x = 241,236 × 241,236
  4. Step 4: Simplify right side
    109,147.50x = 58,194,807,696
  5. Step 5: Solve for x
    x = 58,194,807,696/109,147.50
  6. Step 6: Final answer
    x = 533,175.82

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.