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Finding the Third Proportional to 202,010 and 443,368

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Solution

The third proportional to 202,010 and 443,368 is: 973,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,010 : 443,368 = 443,368 : x
  2. Step 2: Convert to fraction form
    202,010/443,368 = 443,368/x
  3. Step 3: Cross multiply
    202,010x = 443,368 × 443,368
  4. Step 4: Simplify right side
    202,010x = 196,575,183,424
  5. Step 5: Solve for x
    x = 196,575,183,424/202,010
  6. Step 6: Final answer
    x = 973,096.30

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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.