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Finding the Third Proportional to 150,201 and 349,258.50

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Solution

The third proportional to 150,201 and 349,258.50 is: 812,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,201 : 349,258.50 = 349,258.50 : x
  2. Step 2: Convert to fraction form
    150,201/349,258.50 = 349,258.50/x
  3. Step 3: Cross multiply
    150,201x = 349,258.50 × 349,258.50
  4. Step 4: Simplify right side
    150,201x = 121,981,499,822.25
  5. Step 5: Solve for x
    x = 121,981,499,822.25/150,201
  6. Step 6: Final answer
    x = 812,121.76

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.