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Finding the Third Proportional to 202,004 and 443,356

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Solution

The third proportional to 202,004 and 443,356 is: 973,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,004 : 443,356 = 443,356 : x
  2. Step 2: Convert to fraction form
    202,004/443,356 = 443,356/x
  3. Step 3: Cross multiply
    202,004x = 443,356 × 443,356
  4. Step 4: Simplify right side
    202,004x = 196,564,542,736
  5. Step 5: Solve for x
    x = 196,564,542,736/202,004
  6. Step 6: Final answer
    x = 973,072.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.