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Finding the Third Proportional to 184,581 and 276,871

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Solution

The third proportional to 184,581 and 276,871 is: 415,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,581 : 276,871 = 276,871 : x
  2. Step 2: Convert to fraction form
    184,581/276,871 = 276,871/x
  3. Step 3: Cross multiply
    184,581x = 276,871 × 276,871
  4. Step 4: Simplify right side
    184,581x = 76,657,550,641
  5. Step 5: Solve for x
    x = 76,657,550,641/184,581
  6. Step 6: Final answer
    x = 415,305.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.