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Finding the Third Proportional to 77,884 and 182,356

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Solution

The third proportional to 77,884 and 182,356 is: 426,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,884 : 182,356 = 182,356 : x
  2. Step 2: Convert to fraction form
    77,884/182,356 = 182,356/x
  3. Step 3: Cross multiply
    77,884x = 182,356 × 182,356
  4. Step 4: Simplify right side
    77,884x = 33,253,710,736
  5. Step 5: Solve for x
    x = 33,253,710,736/77,884
  6. Step 6: Final answer
    x = 426,964.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.