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Finding the Third Proportional to 128,731.50 and 269,233.88

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Solution

The third proportional to 128,731.50 and 269,233.88 is: 563,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,731.50 : 269,233.88 = 269,233.88 : x
  2. Step 2: Convert to fraction form
    128,731.50/269,233.88 = 269,233.88/x
  3. Step 3: Cross multiply
    128,731.50x = 269,233.88 × 269,233.88
  4. Step 4: Simplify right side
    128,731.50x = 72,486,879,447.52
  5. Step 5: Solve for x
    x = 72,486,879,447.52/128,731.50
  6. Step 6: Final answer
    x = 563,085.80

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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.