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Finding the Third Proportional to 179,476 and 276,702

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Solution

The third proportional to 179,476 and 276,702 is: 426,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,476 : 276,702 = 276,702 : x
  2. Step 2: Convert to fraction form
    179,476/276,702 = 276,702/x
  3. Step 3: Cross multiply
    179,476x = 276,702 × 276,702
  4. Step 4: Simplify right side
    179,476x = 76,563,996,804
  5. Step 5: Solve for x
    x = 76,563,996,804/179,476
  6. Step 6: Final answer
    x = 426,597.41

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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.