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Finding the Third Proportional to 210,844.69 and 300,494.81

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Solution

The third proportional to 210,844.69 and 300,494.81 is: 428,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,844.69 : 300,494.81 = 300,494.81 : x
  2. Step 2: Convert to fraction form
    210,844.69/300,494.81 = 300,494.81/x
  3. Step 3: Cross multiply
    210,844.69x = 300,494.81 × 300,494.81
  4. Step 4: Simplify right side
    210,844.69x = 90,297,132,339.41
  5. Step 5: Solve for x
    x = 90,297,132,339.41/210,844.69
  6. Step 6: Final answer
    x = 428,263.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.