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Finding the Third Proportional to 168,051 and 369,228

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Solution

The third proportional to 168,051 and 369,228 is: 811,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,051 : 369,228 = 369,228 : x
  2. Step 2: Convert to fraction form
    168,051/369,228 = 369,228/x
  3. Step 3: Cross multiply
    168,051x = 369,228 × 369,228
  4. Step 4: Simplify right side
    168,051x = 136,329,315,984
  5. Step 5: Solve for x
    x = 136,329,315,984/168,051
  6. Step 6: Final answer
    x = 811,237.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.