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Finding the Third Proportional to 242,322 and 367,843

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Solution

The third proportional to 242,322 and 367,843 is: 558,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,322 : 367,843 = 367,843 : x
  2. Step 2: Convert to fraction form
    242,322/367,843 = 367,843/x
  3. Step 3: Cross multiply
    242,322x = 367,843 × 367,843
  4. Step 4: Simplify right side
    242,322x = 135,308,472,649
  5. Step 5: Solve for x
    x = 135,308,472,649/242,322
  6. Step 6: Final answer
    x = 558,382.95

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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.