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Finding the Third Proportional to 202,303 and 443,306

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Solution

The third proportional to 202,303 and 443,306 is: 971,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,303 : 443,306 = 443,306 : x
  2. Step 2: Convert to fraction form
    202,303/443,306 = 443,306/x
  3. Step 3: Cross multiply
    202,303x = 443,306 × 443,306
  4. Step 4: Simplify right side
    202,303x = 196,520,209,636
  5. Step 5: Solve for x
    x = 196,520,209,636/202,303
  6. Step 6: Final answer
    x = 971,415.20

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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.