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Finding the Third Proportional to 128,812 and 282,228

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Solution

The third proportional to 128,812 and 282,228 is: 618,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,812 : 282,228 = 282,228 : x
  2. Step 2: Convert to fraction form
    128,812/282,228 = 282,228/x
  3. Step 3: Cross multiply
    128,812x = 282,228 × 282,228
  4. Step 4: Simplify right side
    128,812x = 79,652,643,984
  5. Step 5: Solve for x
    x = 79,652,643,984/128,812
  6. Step 6: Final answer
    x = 618,363.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.