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Finding the Third Proportional to 150,372 and 210,222

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Solution

The third proportional to 150,372 and 210,222 is: 293,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,372 : 210,222 = 210,222 : x
  2. Step 2: Convert to fraction form
    150,372/210,222 = 210,222/x
  3. Step 3: Cross multiply
    150,372x = 210,222 × 210,222
  4. Step 4: Simplify right side
    150,372x = 44,193,289,284
  5. Step 5: Solve for x
    x = 44,193,289,284/150,372
  6. Step 6: Final answer
    x = 293,893.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.