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Finding the Third Proportional to 184,075 and 386,739

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Solution

The third proportional to 184,075 and 386,739 is: 812,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,075 : 386,739 = 386,739 : x
  2. Step 2: Convert to fraction form
    184,075/386,739 = 386,739/x
  3. Step 3: Cross multiply
    184,075x = 386,739 × 386,739
  4. Step 4: Simplify right side
    184,075x = 149,567,054,121
  5. Step 5: Solve for x
    x = 149,567,054,121/184,075
  6. Step 6: Final answer
    x = 812,533.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.