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Finding the Third Proportional to 242,824 and 367,625

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Solution

The third proportional to 242,824 and 367,625 is: 556,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,824 : 367,625 = 367,625 : x
  2. Step 2: Convert to fraction form
    242,824/367,625 = 367,625/x
  3. Step 3: Cross multiply
    242,824x = 367,625 × 367,625
  4. Step 4: Simplify right side
    242,824x = 135,148,140,625
  5. Step 5: Solve for x
    x = 135,148,140,625/242,824
  6. Step 6: Final answer
    x = 556,568.30

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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.