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Finding the Third Proportional to 202,356 and 443,257

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Solution

The third proportional to 202,356 and 443,257 is: 970,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,356 : 443,257 = 443,257 : x
  2. Step 2: Convert to fraction form
    202,356/443,257 = 443,257/x
  3. Step 3: Cross multiply
    202,356x = 443,257 × 443,257
  4. Step 4: Simplify right side
    202,356x = 196,476,768,049
  5. Step 5: Solve for x
    x = 196,476,768,049/202,356
  6. Step 6: Final answer
    x = 970,946.10

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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.