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Finding the Third Proportional to 184,312 and 277,172

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Solution

The third proportional to 184,312 and 277,172 is: 416,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,312 : 277,172 = 277,172 : x
  2. Step 2: Convert to fraction form
    184,312/277,172 = 277,172/x
  3. Step 3: Cross multiply
    184,312x = 277,172 × 277,172
  4. Step 4: Simplify right side
    184,312x = 76,824,317,584
  5. Step 5: Solve for x
    x = 76,824,317,584/184,312
  6. Step 6: Final answer
    x = 416,816.69

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