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Finding the Third Proportional to 242,573 and 368,756

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Solution

The third proportional to 242,573 and 368,756 is: 560,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,573 : 368,756 = 368,756 : x
  2. Step 2: Convert to fraction form
    242,573/368,756 = 368,756/x
  3. Step 3: Cross multiply
    242,573x = 368,756 × 368,756
  4. Step 4: Simplify right side
    242,573x = 135,980,987,536
  5. Step 5: Solve for x
    x = 135,980,987,536/242,573
  6. Step 6: Final answer
    x = 560,577.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.