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Finding the Third Proportional to 184,176 and 402,912

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Solution

The third proportional to 184,176 and 402,912 is: 881,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,176 : 402,912 = 402,912 : x
  2. Step 2: Convert to fraction form
    184,176/402,912 = 402,912/x
  3. Step 3: Cross multiply
    184,176x = 402,912 × 402,912
  4. Step 4: Simplify right side
    184,176x = 162,338,079,744
  5. Step 5: Solve for x
    x = 162,338,079,744/184,176
  6. Step 6: Final answer
    x = 881,429.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.