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Finding the Third Proportional to 128,022 and 200,835

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Solution

The third proportional to 128,022 and 200,835 is: 315,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,022 : 200,835 = 200,835 : x
  2. Step 2: Convert to fraction form
    128,022/200,835 = 200,835/x
  3. Step 3: Cross multiply
    128,022x = 200,835 × 200,835
  4. Step 4: Simplify right side
    128,022x = 40,334,697,225
  5. Step 5: Solve for x
    x = 40,334,697,225/128,022
  6. Step 6: Final answer
    x = 315,060.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.