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Finding the Third Proportional to 184,392 and 295,740

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Solution

The third proportional to 184,392 and 295,740 is: 474,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,392 : 295,740 = 295,740 : x
  2. Step 2: Convert to fraction form
    184,392/295,740 = 295,740/x
  3. Step 3: Cross multiply
    184,392x = 295,740 × 295,740
  4. Step 4: Simplify right side
    184,392x = 87,462,147,600
  5. Step 5: Solve for x
    x = 87,462,147,600/184,392
  6. Step 6: Final answer
    x = 474,327.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.