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Finding the Third Proportional to 179,636 and 276,943

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Solution

The third proportional to 179,636 and 276,943 is: 426,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,636 : 276,943 = 276,943 : x
  2. Step 2: Convert to fraction form
    179,636/276,943 = 276,943/x
  3. Step 3: Cross multiply
    179,636x = 276,943 × 276,943
  4. Step 4: Simplify right side
    179,636x = 76,697,425,249
  5. Step 5: Solve for x
    x = 76,697,425,249/179,636
  6. Step 6: Final answer
    x = 426,960.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.