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Finding the Third Proportional to 168,345 and 369,401.63

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Solution

The third proportional to 168,345 and 369,401.63 is: 810,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,345 : 369,401.63 = 369,401.63 : x
  2. Step 2: Convert to fraction form
    168,345/369,401.63 = 369,401.63/x
  3. Step 3: Cross multiply
    168,345x = 369,401.63 × 369,401.63
  4. Step 4: Simplify right side
    168,345x = 136,457,560,552.64
  5. Step 5: Solve for x
    x = 136,457,560,552.64/168,345
  6. Step 6: Final answer
    x = 810,582.79

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