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Finding the Third Proportional to 184,519 and 397,337.50

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Solution

The third proportional to 184,519 and 397,337.50 is: 855,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,519 : 397,337.50 = 397,337.50 : x
  2. Step 2: Convert to fraction form
    184,519/397,337.50 = 397,337.50/x
  3. Step 3: Cross multiply
    184,519x = 397,337.50 × 397,337.50
  4. Step 4: Simplify right side
    184,519x = 157,877,088,906.25
  5. Step 5: Solve for x
    x = 157,877,088,906.25/184,519
  6. Step 6: Final answer
    x = 855,614.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.