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Finding the Third Proportional to 151,216 and 223,375

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Solution

The third proportional to 151,216 and 223,375 is: 329,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,216 : 223,375 = 223,375 : x
  2. Step 2: Convert to fraction form
    151,216/223,375 = 223,375/x
  3. Step 3: Cross multiply
    151,216x = 223,375 × 223,375
  4. Step 4: Simplify right side
    151,216x = 49,896,390,625
  5. Step 5: Solve for x
    x = 49,896,390,625/151,216
  6. Step 6: Final answer
    x = 329,967.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.