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Finding the Third Proportional to 168,885 and 363,953.25

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Solution

The third proportional to 168,885 and 363,953.25 is: 784,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,885 : 363,953.25 = 363,953.25 : x
  2. Step 2: Convert to fraction form
    168,885/363,953.25 = 363,953.25/x
  3. Step 3: Cross multiply
    168,885x = 363,953.25 × 363,953.25
  4. Step 4: Simplify right side
    168,885x = 132,461,968,185.56
  5. Step 5: Solve for x
    x = 132,461,968,185.56/168,885
  6. Step 6: Final answer
    x = 784,332.35

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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.