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Finding the Third Proportional to 128,180 and 276,082

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Solution

The third proportional to 128,180 and 276,082 is: 594,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,180 : 276,082 = 276,082 : x
  2. Step 2: Convert to fraction form
    128,180/276,082 = 276,082/x
  3. Step 3: Cross multiply
    128,180x = 276,082 × 276,082
  4. Step 4: Simplify right side
    128,180x = 76,221,270,724
  5. Step 5: Solve for x
    x = 76,221,270,724/128,180
  6. Step 6: Final answer
    x = 594,642.46

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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.