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Finding the Third Proportional to 200,916 and 303,412

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Solution

The third proportional to 200,916 and 303,412 is: 458,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916 : 303,412 = 303,412 : x
  2. Step 2: Convert to fraction form
    200,916/303,412 = 303,412/x
  3. Step 3: Cross multiply
    200,916x = 303,412 × 303,412
  4. Step 4: Simplify right side
    200,916x = 92,058,841,744
  5. Step 5: Solve for x
    x = 92,058,841,744/200,916
  6. Step 6: Final answer
    x = 458,195.67

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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.