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Finding the Third Proportional to 128,996 and 199,245

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Solution

The third proportional to 128,996 and 199,245 is: 307,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,996 : 199,245 = 199,245 : x
  2. Step 2: Convert to fraction form
    128,996/199,245 = 199,245/x
  3. Step 3: Cross multiply
    128,996x = 199,245 × 199,245
  4. Step 4: Simplify right side
    128,996x = 39,698,570,025
  5. Step 5: Solve for x
    x = 39,698,570,025/128,996
  6. Step 6: Final answer
    x = 307,750.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.