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Finding the Third Proportional to 184,210 and 281,664

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Solution

The third proportional to 184,210 and 281,664 is: 430,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,210 : 281,664 = 281,664 : x
  2. Step 2: Convert to fraction form
    184,210/281,664 = 281,664/x
  3. Step 3: Cross multiply
    184,210x = 281,664 × 281,664
  4. Step 4: Simplify right side
    184,210x = 79,334,608,896
  5. Step 5: Solve for x
    x = 79,334,608,896/184,210
  6. Step 6: Final answer
    x = 430,674.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.