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Finding the Third Proportional to 168,322 and 362,076

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Solution

The third proportional to 168,322 and 362,076 is: 778,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,322 : 362,076 = 362,076 : x
  2. Step 2: Convert to fraction form
    168,322/362,076 = 362,076/x
  3. Step 3: Cross multiply
    168,322x = 362,076 × 362,076
  4. Step 4: Simplify right side
    168,322x = 131,099,029,776
  5. Step 5: Solve for x
    x = 131,099,029,776/168,322
  6. Step 6: Final answer
    x = 778,858.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.