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Finding the Third Proportional to 184,178 and 291,075

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Solution

The third proportional to 184,178 and 291,075 is: 460,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,178 : 291,075 = 291,075 : x
  2. Step 2: Convert to fraction form
    184,178/291,075 = 291,075/x
  3. Step 3: Cross multiply
    184,178x = 291,075 × 291,075
  4. Step 4: Simplify right side
    184,178x = 84,724,655,625
  5. Step 5: Solve for x
    x = 84,724,655,625/184,178
  6. Step 6: Final answer
    x = 460,015.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.