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Finding the Third Proportional to 184,527 and 301,311

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Solution

The third proportional to 184,527 and 301,311 is: 492,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,527 : 301,311 = 301,311 : x
  2. Step 2: Convert to fraction form
    184,527/301,311 = 301,311/x
  3. Step 3: Cross multiply
    184,527x = 301,311 × 301,311
  4. Step 4: Simplify right side
    184,527x = 90,788,318,721
  5. Step 5: Solve for x
    x = 90,788,318,721/184,527
  6. Step 6: Final answer
    x = 492,005.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.