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Finding the Third Proportional to 182,637 and 248,805

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Solution

The third proportional to 182,637 and 248,805 is: 338,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,637 : 248,805 = 248,805 : x
  2. Step 2: Convert to fraction form
    182,637/248,805 = 248,805/x
  3. Step 3: Cross multiply
    182,637x = 248,805 × 248,805
  4. Step 4: Simplify right side
    182,637x = 61,903,928,025
  5. Step 5: Solve for x
    x = 61,903,928,025/182,637
  6. Step 6: Final answer
    x = 338,945.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.