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Finding the Third Proportional to 211,923 and 320,044.50

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Solution

The third proportional to 211,923 and 320,044.50 is: 483,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,923 : 320,044.50 = 320,044.50 : x
  2. Step 2: Convert to fraction form
    211,923/320,044.50 = 320,044.50/x
  3. Step 3: Cross multiply
    211,923x = 320,044.50 × 320,044.50
  4. Step 4: Simplify right side
    211,923x = 102,428,481,980.25
  5. Step 5: Solve for x
    x = 102,428,481,980.25/211,923
  6. Step 6: Final answer
    x = 483,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.