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Finding the Third Proportional to 149,719.50 and 215,211

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Solution

The third proportional to 149,719.50 and 215,211 is: 309,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.50 : 215,211 = 215,211 : x
  2. Step 2: Convert to fraction form
    149,719.50/215,211 = 215,211/x
  3. Step 3: Cross multiply
    149,719.50x = 215,211 × 215,211
  4. Step 4: Simplify right side
    149,719.50x = 46,315,774,521
  5. Step 5: Solve for x
    x = 46,315,774,521/149,719.50
  6. Step 6: Final answer
    x = 309,350.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.