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Finding the Third Proportional to 184,039 and 375,817

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Solution

The third proportional to 184,039 and 375,817 is: 767,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,039 : 375,817 = 375,817 : x
  2. Step 2: Convert to fraction form
    184,039/375,817 = 375,817/x
  3. Step 3: Cross multiply
    184,039x = 375,817 × 375,817
  4. Step 4: Simplify right side
    184,039x = 141,238,417,489
  5. Step 5: Solve for x
    x = 141,238,417,489/184,039
  6. Step 6: Final answer
    x = 767,437.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.