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Finding the Third Proportional to 211,051.13 and 301,782.94

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Solution

The third proportional to 211,051.13 and 301,782.94 is: 431,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,051.13 : 301,782.94 = 301,782.94 : x
  2. Step 2: Convert to fraction form
    211,051.13/301,782.94 = 301,782.94/x
  3. Step 3: Cross multiply
    211,051.13x = 301,782.94 × 301,782.94
  4. Step 4: Simplify right side
    211,051.13x = 91,072,941,366.13
  5. Step 5: Solve for x
    x = 91,072,941,366.13/211,051.13
  6. Step 6: Final answer
    x = 431,520.76

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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.