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Finding the Third Proportional to 181,740 and 275,880

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Solution

The third proportional to 181,740 and 275,880 is: 418,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,740 : 275,880 = 275,880 : x
  2. Step 2: Convert to fraction form
    181,740/275,880 = 275,880/x
  3. Step 3: Cross multiply
    181,740x = 275,880 × 275,880
  4. Step 4: Simplify right side
    181,740x = 76,109,774,400
  5. Step 5: Solve for x
    x = 76,109,774,400/181,740
  6. Step 6: Final answer
    x = 418,783.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.