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Finding the Third Proportional to 211,193.30 and 437,358.09

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Solution

The third proportional to 211,193.30 and 437,358.09 is: 905,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,193.30 : 437,358.09 = 437,358.09 : x
  2. Step 2: Convert to fraction form
    211,193.30/437,358.09 = 437,358.09/x
  3. Step 3: Cross multiply
    211,193.30x = 437,358.09 × 437,358.09
  4. Step 4: Simplify right side
    211,193.30x = 191,282,102,168.63
  5. Step 5: Solve for x
    x = 191,282,102,168.63/211,193.30
  6. Step 6: Final answer
    x = 905,720.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.