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Finding the Third Proportional to 128,733.50 and 269,238

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Solution

The third proportional to 128,733.50 and 269,238 is: 563,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,733.50 : 269,238 = 269,238 : x
  2. Step 2: Convert to fraction form
    128,733.50/269,238 = 269,238/x
  3. Step 3: Cross multiply
    128,733.50x = 269,238 × 269,238
  4. Step 4: Simplify right side
    128,733.50x = 72,489,100,644
  5. Step 5: Solve for x
    x = 72,489,100,644/128,733.50
  6. Step 6: Final answer
    x = 563,094.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.