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Finding the Third Proportional to 232,194.94 and 354,298.06

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Solution

The third proportional to 232,194.94 and 354,298.06 is: 540,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,194.94 : 354,298.06 = 354,298.06 : x
  2. Step 2: Convert to fraction form
    232,194.94/354,298.06 = 354,298.06/x
  3. Step 3: Cross multiply
    232,194.94x = 354,298.06 × 354,298.06
  4. Step 4: Simplify right side
    232,194.94x = 125,527,115,707.28
  5. Step 5: Solve for x
    x = 125,527,115,707.28/232,194.94
  6. Step 6: Final answer
    x = 540,610.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.