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Finding the Third Proportional to 128,285 and 201,235.75

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Solution

The third proportional to 128,285 and 201,235.75 is: 315,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,285 : 201,235.75 = 201,235.75 : x
  2. Step 2: Convert to fraction form
    128,285/201,235.75 = 201,235.75/x
  3. Step 3: Cross multiply
    128,285x = 201,235.75 × 201,235.75
  4. Step 4: Simplify right side
    128,285x = 40,495,827,078.06
  5. Step 5: Solve for x
    x = 40,495,827,078.06/128,285
  6. Step 6: Final answer
    x = 315,670.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.