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Finding the Third Proportional to 203,164.50 and 301,822.50

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Solution

The third proportional to 203,164.50 and 301,822.50 is: 448,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,164.50 : 301,822.50 = 301,822.50 : x
  2. Step 2: Convert to fraction form
    203,164.50/301,822.50 = 301,822.50/x
  3. Step 3: Cross multiply
    203,164.50x = 301,822.50 × 301,822.50
  4. Step 4: Simplify right side
    203,164.50x = 91,096,821,506.25
  5. Step 5: Solve for x
    x = 91,096,821,506.25/203,164.50
  6. Step 6: Final answer
    x = 448,389.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.