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Finding the Third Proportional to 202,357 and 443,259

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Solution

The third proportional to 202,357 and 443,259 is: 970,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357 : 443,259 = 443,259 : x
  2. Step 2: Convert to fraction form
    202,357/443,259 = 443,259/x
  3. Step 3: Cross multiply
    202,357x = 443,259 × 443,259
  4. Step 4: Simplify right side
    202,357x = 196,478,541,081
  5. Step 5: Solve for x
    x = 196,478,541,081/202,357
  6. Step 6: Final answer
    x = 970,950.06

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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.