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Finding the Third Proportional to 180,226 and 263,491

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Solution

The third proportional to 180,226 and 263,491 is: 385,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,226 : 263,491 = 263,491 : x
  2. Step 2: Convert to fraction form
    180,226/263,491 = 263,491/x
  3. Step 3: Cross multiply
    180,226x = 263,491 × 263,491
  4. Step 4: Simplify right side
    180,226x = 69,427,507,081
  5. Step 5: Solve for x
    x = 69,427,507,081/180,226
  6. Step 6: Final answer
    x = 385,224.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.