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Finding the Third Proportional to 211,996.69 and 461,356.88

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Solution

The third proportional to 211,996.69 and 461,356.88 is: 1,004,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,996.69 : 461,356.88 = 461,356.88 : x
  2. Step 2: Convert to fraction form
    211,996.69/461,356.88 = 461,356.88/x
  3. Step 3: Cross multiply
    211,996.69x = 461,356.88 × 461,356.88
  4. Step 4: Simplify right side
    211,996.69x = 212,850,166,109.77
  5. Step 5: Solve for x
    x = 212,850,166,109.77/211,996.69
  6. Step 6: Final answer
    x = 1,004,025.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.