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Finding the Third Proportional to 283,076 and 367,372

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Solution

The third proportional to 283,076 and 367,372 is: 476,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,076 : 367,372 = 367,372 : x
  2. Step 2: Convert to fraction form
    283,076/367,372 = 367,372/x
  3. Step 3: Cross multiply
    283,076x = 367,372 × 367,372
  4. Step 4: Simplify right side
    283,076x = 134,962,186,384
  5. Step 5: Solve for x
    x = 134,962,186,384/283,076
  6. Step 6: Final answer
    x = 476,770.15

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.