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Finding the Third Proportional to 151,110 and 204,476

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Solution

The third proportional to 151,110 and 204,476 is: 276,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,110 : 204,476 = 204,476 : x
  2. Step 2: Convert to fraction form
    151,110/204,476 = 204,476/x
  3. Step 3: Cross multiply
    151,110x = 204,476 × 204,476
  4. Step 4: Simplify right side
    151,110x = 41,810,434,576
  5. Step 5: Solve for x
    x = 41,810,434,576/151,110
  6. Step 6: Final answer
    x = 276,688.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.