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Finding the Third Proportional to 140,069 and 201,351

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Solution

The third proportional to 140,069 and 201,351 is: 289,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,069 : 201,351 = 201,351 : x
  2. Step 2: Convert to fraction form
    140,069/201,351 = 201,351/x
  3. Step 3: Cross multiply
    140,069x = 201,351 × 201,351
  4. Step 4: Simplify right side
    140,069x = 40,542,225,201
  5. Step 5: Solve for x
    x = 40,542,225,201/140,069
  6. Step 6: Final answer
    x = 289,444.67

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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.