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Finding the Third Proportional to 182,204 and 254,784

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Solution

The third proportional to 182,204 and 254,784 is: 356,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,204 : 254,784 = 254,784 : x
  2. Step 2: Convert to fraction form
    182,204/254,784 = 254,784/x
  3. Step 3: Cross multiply
    182,204x = 254,784 × 254,784
  4. Step 4: Simplify right side
    182,204x = 64,914,886,656
  5. Step 5: Solve for x
    x = 64,914,886,656/182,204
  6. Step 6: Final answer
    x = 356,275.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.