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Finding the Third Proportional to 201,176 and 303,814

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Solution

The third proportional to 201,176 and 303,814 is: 458,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,176 : 303,814 = 303,814 : x
  2. Step 2: Convert to fraction form
    201,176/303,814 = 303,814/x
  3. Step 3: Cross multiply
    201,176x = 303,814 × 303,814
  4. Step 4: Simplify right side
    201,176x = 92,302,946,596
  5. Step 5: Solve for x
    x = 92,302,946,596/201,176
  6. Step 6: Final answer
    x = 458,816.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.