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Finding the Third Proportional to 182,740 and 440,242

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Solution

The third proportional to 182,740 and 440,242 is: 1,060,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,740 : 440,242 = 440,242 : x
  2. Step 2: Convert to fraction form
    182,740/440,242 = 440,242/x
  3. Step 3: Cross multiply
    182,740x = 440,242 × 440,242
  4. Step 4: Simplify right side
    182,740x = 193,813,018,564
  5. Step 5: Solve for x
    x = 193,813,018,564/182,740
  6. Step 6: Final answer
    x = 1,060,594.39

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.