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Finding the Third Proportional to 242,682 and 367,418.25

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Solution

The third proportional to 242,682 and 367,418.25 is: 556,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,682 : 367,418.25 = 367,418.25 : x
  2. Step 2: Convert to fraction form
    242,682/367,418.25 = 367,418.25/x
  3. Step 3: Cross multiply
    242,682x = 367,418.25 × 367,418.25
  4. Step 4: Simplify right side
    242,682x = 134,996,170,433.06
  5. Step 5: Solve for x
    x = 134,996,170,433.06/242,682
  6. Step 6: Final answer
    x = 556,267.75

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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.