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Finding the Third Proportional to 183,768 and 276,723

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Solution

The third proportional to 183,768 and 276,723 is: 416,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,768 : 276,723 = 276,723 : x
  2. Step 2: Convert to fraction form
    183,768/276,723 = 276,723/x
  3. Step 3: Cross multiply
    183,768x = 276,723 × 276,723
  4. Step 4: Simplify right side
    183,768x = 76,575,618,729
  5. Step 5: Solve for x
    x = 76,575,618,729/183,768
  6. Step 6: Final answer
    x = 416,697.24

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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.