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Finding the Third Proportional to 201,800 and 302,700

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Solution

The third proportional to 201,800 and 302,700 is: 454,050

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,800 : 302,700 = 302,700 : x
  2. Step 2: Convert to fraction form
    201,800/302,700 = 302,700/x
  3. Step 3: Cross multiply
    201,800x = 302,700 × 302,700
  4. Step 4: Simplify right side
    201,800x = 91,627,290,000
  5. Step 5: Solve for x
    x = 91,627,290,000/201,800
  6. Step 6: Final answer
    x = 454,050

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.