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Finding the Third Proportional to 200,971 and 311,044

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Solution

The third proportional to 200,971 and 311,044 is: 481,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,971 : 311,044 = 311,044 : x
  2. Step 2: Convert to fraction form
    200,971/311,044 = 311,044/x
  3. Step 3: Cross multiply
    200,971x = 311,044 × 311,044
  4. Step 4: Simplify right side
    200,971x = 96,748,369,936
  5. Step 5: Solve for x
    x = 96,748,369,936/200,971
  6. Step 6: Final answer
    x = 481,404.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.