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Finding the Third Proportional to 184,384 and 252,340

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Solution

The third proportional to 184,384 and 252,340 is: 345,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,384 : 252,340 = 252,340 : x
  2. Step 2: Convert to fraction form
    184,384/252,340 = 252,340/x
  3. Step 3: Cross multiply
    184,384x = 252,340 × 252,340
  4. Step 4: Simplify right side
    184,384x = 63,675,475,600
  5. Step 5: Solve for x
    x = 63,675,475,600/184,384
  6. Step 6: Final answer
    x = 345,341.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.