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Finding the Third Proportional to 182,908 and 242,760

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Solution

The third proportional to 182,908 and 242,760 is: 322,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,908 : 242,760 = 242,760 : x
  2. Step 2: Convert to fraction form
    182,908/242,760 = 242,760/x
  3. Step 3: Cross multiply
    182,908x = 242,760 × 242,760
  4. Step 4: Simplify right side
    182,908x = 58,932,417,600
  5. Step 5: Solve for x
    x = 58,932,417,600/182,908
  6. Step 6: Final answer
    x = 322,197.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.