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Finding the Third Proportional to 182,340 and 276,018.75

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Solution

The third proportional to 182,340 and 276,018.75 is: 417,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,340 : 276,018.75 = 276,018.75 : x
  2. Step 2: Convert to fraction form
    182,340/276,018.75 = 276,018.75/x
  3. Step 3: Cross multiply
    182,340x = 276,018.75 × 276,018.75
  4. Step 4: Simplify right side
    182,340x = 76,186,350,351.56
  5. Step 5: Solve for x
    x = 76,186,350,351.56/182,340
  6. Step 6: Final answer
    x = 417,825.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.