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Finding the Third Proportional to 168,924 and 364,032

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Solution

The third proportional to 168,924 and 364,032 is: 784,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,924 : 364,032 = 364,032 : x
  2. Step 2: Convert to fraction form
    168,924/364,032 = 364,032/x
  3. Step 3: Cross multiply
    168,924x = 364,032 × 364,032
  4. Step 4: Simplify right side
    168,924x = 132,519,297,024
  5. Step 5: Solve for x
    x = 132,519,297,024/168,924
  6. Step 6: Final answer
    x = 784,490.64

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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.