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Finding the Third Proportional to 168,146 and 369,052

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Solution

The third proportional to 168,146 and 369,052 is: 810,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,146 : 369,052 = 369,052 : x
  2. Step 2: Convert to fraction form
    168,146/369,052 = 369,052/x
  3. Step 3: Cross multiply
    168,146x = 369,052 × 369,052
  4. Step 4: Simplify right side
    168,146x = 136,199,378,704
  5. Step 5: Solve for x
    x = 136,199,378,704/168,146
  6. Step 6: Final answer
    x = 810,006.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.