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Finding the Third Proportional to 242,832 and 367,634

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Solution

The third proportional to 242,832 and 367,634 is: 556,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,832 : 367,634 = 367,634 : x
  2. Step 2: Convert to fraction form
    242,832/367,634 = 367,634/x
  3. Step 3: Cross multiply
    242,832x = 367,634 × 367,634
  4. Step 4: Simplify right side
    242,832x = 135,154,757,956
  5. Step 5: Solve for x
    x = 135,154,757,956/242,832
  6. Step 6: Final answer
    x = 556,577.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.