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Finding the Third Proportional to 128,236.50 and 280,074

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Solution

The third proportional to 128,236.50 and 280,074 is: 611,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,236.50 : 280,074 = 280,074 : x
  2. Step 2: Convert to fraction form
    128,236.50/280,074 = 280,074/x
  3. Step 3: Cross multiply
    128,236.50x = 280,074 × 280,074
  4. Step 4: Simplify right side
    128,236.50x = 78,441,445,476
  5. Step 5: Solve for x
    x = 78,441,445,476/128,236.50
  6. Step 6: Final answer
    x = 611,693.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.