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Finding the Third Proportional to 128,529 and 200,998.50

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Solution

The third proportional to 128,529 and 200,998.50 is: 314,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,529 : 200,998.50 = 200,998.50 : x
  2. Step 2: Convert to fraction form
    128,529/200,998.50 = 200,998.50/x
  3. Step 3: Cross multiply
    128,529x = 200,998.50 × 200,998.50
  4. Step 4: Simplify right side
    128,529x = 40,400,397,002.25
  5. Step 5: Solve for x
    x = 40,400,397,002.25/128,529
  6. Step 6: Final answer
    x = 314,329.04

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.