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Finding the Third Proportional to 184,042.13 and 276,063.19

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Solution

The third proportional to 184,042.13 and 276,063.19 is: 414,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,042.13 : 276,063.19 = 276,063.19 : x
  2. Step 2: Convert to fraction form
    184,042.13/276,063.19 = 276,063.19/x
  3. Step 3: Cross multiply
    184,042.13x = 276,063.19 × 276,063.19
  4. Step 4: Simplify right side
    184,042.13x = 76,210,883,492.66
  5. Step 5: Solve for x
    x = 76,210,883,492.66/184,042.13
  6. Step 6: Final answer
    x = 414,094.78

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Why These Related Problems?

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