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Finding the Third Proportional to 211,055.63 and 301,593.38

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Solution

The third proportional to 211,055.63 and 301,593.38 is: 430,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,055.63 : 301,593.38 = 301,593.38 : x
  2. Step 2: Convert to fraction form
    211,055.63/301,593.38 = 301,593.38/x
  3. Step 3: Cross multiply
    211,055.63x = 301,593.38 × 301,593.38
  4. Step 4: Simplify right side
    211,055.63x = 90,958,563,843.89
  5. Step 5: Solve for x
    x = 90,958,563,843.89/211,055.63
  6. Step 6: Final answer
    x = 430,969.63

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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.