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Finding the Third Proportional to 184,688 and 397,624

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Solution

The third proportional to 184,688 and 397,624 is: 856,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,688 : 397,624 = 397,624 : x
  2. Step 2: Convert to fraction form
    184,688/397,624 = 397,624/x
  3. Step 3: Cross multiply
    184,688x = 397,624 × 397,624
  4. Step 4: Simplify right side
    184,688x = 158,104,845,376
  5. Step 5: Solve for x
    x = 158,104,845,376/184,688
  6. Step 6: Final answer
    x = 856,064.53

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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.