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Finding the Third Proportional to 180,243 and 261,072

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Solution

The third proportional to 180,243 and 261,072 is: 378,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,243 : 261,072 = 261,072 : x
  2. Step 2: Convert to fraction form
    180,243/261,072 = 261,072/x
  3. Step 3: Cross multiply
    180,243x = 261,072 × 261,072
  4. Step 4: Simplify right side
    180,243x = 68,158,589,184
  5. Step 5: Solve for x
    x = 68,158,589,184/180,243
  6. Step 6: Final answer
    x = 378,148.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.