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Finding the Third Proportional to 168,768 and 364,226

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Solution

The third proportional to 168,768 and 364,226 is: 786,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,768 : 364,226 = 364,226 : x
  2. Step 2: Convert to fraction form
    168,768/364,226 = 364,226/x
  3. Step 3: Cross multiply
    168,768x = 364,226 × 364,226
  4. Step 4: Simplify right side
    168,768x = 132,660,579,076
  5. Step 5: Solve for x
    x = 132,660,579,076/168,768
  6. Step 6: Final answer
    x = 786,052.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.