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Finding the Third Proportional to 202,306 and 443,312

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Solution

The third proportional to 202,306 and 443,312 is: 971,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,306 : 443,312 = 443,312 : x
  2. Step 2: Convert to fraction form
    202,306/443,312 = 443,312/x
  3. Step 3: Cross multiply
    202,306x = 443,312 × 443,312
  4. Step 4: Simplify right side
    202,306x = 196,525,529,344
  5. Step 5: Solve for x
    x = 196,525,529,344/202,306
  6. Step 6: Final answer
    x = 971,427.09

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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.