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Finding the Third Proportional to 301,137.75 and 401,467.50

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Solution

The third proportional to 301,137.75 and 401,467.50 is: 535,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,137.75 : 401,467.50 = 401,467.50 : x
  2. Step 2: Convert to fraction form
    301,137.75/401,467.50 = 401,467.50/x
  3. Step 3: Cross multiply
    301,137.75x = 401,467.50 × 401,467.50
  4. Step 4: Simplify right side
    301,137.75x = 161,176,153,556.25
  5. Step 5: Solve for x
    x = 161,176,153,556.25/301,137.75
  6. Step 6: Final answer
    x = 535,224.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.