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Finding the Third Proportional to 230,865.19 and 324,256.92

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Solution

The third proportional to 230,865.19 and 324,256.92 is: 455,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,865.19 : 324,256.92 = 324,256.92 : x
  2. Step 2: Convert to fraction form
    230,865.19/324,256.92 = 324,256.92/x
  3. Step 3: Cross multiply
    230,865.19x = 324,256.92 × 324,256.92
  4. Step 4: Simplify right side
    230,865.19x = 105,142,551,383.85
  5. Step 5: Solve for x
    x = 105,142,551,383.85/230,865.19
  6. Step 6: Final answer
    x = 455,428.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.