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Finding the Third Proportional to 232,091.63 and 313,144.88

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Solution

The third proportional to 232,091.63 and 313,144.88 is: 422,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,091.63 : 313,144.88 = 313,144.88 : x
  2. Step 2: Convert to fraction form
    232,091.63/313,144.88 = 313,144.88/x
  3. Step 3: Cross multiply
    232,091.63x = 313,144.88 × 313,144.88
  4. Step 4: Simplify right side
    232,091.63x = 98,059,712,738.77
  5. Step 5: Solve for x
    x = 98,059,712,738.77/232,091.63
  6. Step 6: Final answer
    x = 422,504.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.