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Finding the Third Proportional to 301,162.50 and 401,496.75

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Solution

The third proportional to 301,162.50 and 401,496.75 is: 535,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,162.50 : 401,496.75 = 401,496.75 : x
  2. Step 2: Convert to fraction form
    301,162.50/401,496.75 = 401,496.75/x
  3. Step 3: Cross multiply
    301,162.50x = 401,496.75 × 401,496.75
  4. Step 4: Simplify right side
    301,162.50x = 161,199,640,260.56
  5. Step 5: Solve for x
    x = 161,199,640,260.56/301,162.50
  6. Step 6: Final answer
    x = 535,258.01

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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.