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Finding the Third Proportional to 128,202 and 276,116

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Solution

The third proportional to 128,202 and 276,116 is: 594,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,202 : 276,116 = 276,116 : x
  2. Step 2: Convert to fraction form
    128,202/276,116 = 276,116/x
  3. Step 3: Cross multiply
    128,202x = 276,116 × 276,116
  4. Step 4: Simplify right side
    128,202x = 76,240,045,456
  5. Step 5: Solve for x
    x = 76,240,045,456/128,202
  6. Step 6: Final answer
    x = 594,686.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.