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Finding the Third Proportional to 202,304 and 443,308

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Solution

The third proportional to 202,304 and 443,308 is: 971,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,304 : 443,308 = 443,308 : x
  2. Step 2: Convert to fraction form
    202,304/443,308 = 443,308/x
  3. Step 3: Cross multiply
    202,304x = 443,308 × 443,308
  4. Step 4: Simplify right side
    202,304x = 196,521,982,864
  5. Step 5: Solve for x
    x = 196,521,982,864/202,304
  6. Step 6: Final answer
    x = 971,419.17

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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.