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Finding the Third Proportional to 128,733.75 and 269,230.50

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Solution

The third proportional to 128,733.75 and 269,230.50 is: 563,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,733.75 : 269,230.50 = 269,230.50 : x
  2. Step 2: Convert to fraction form
    128,733.75/269,230.50 = 269,230.50/x
  3. Step 3: Cross multiply
    128,733.75x = 269,230.50 × 269,230.50
  4. Step 4: Simplify right side
    128,733.75x = 72,485,062,130.25
  5. Step 5: Solve for x
    x = 72,485,062,130.25/128,733.75
  6. Step 6: Final answer
    x = 563,061.84

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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.