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Finding the Third Proportional to 163,265.63 and 231,224.63

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Solution

The third proportional to 163,265.63 and 231,224.63 is: 327,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,265.63 : 231,224.63 = 231,224.63 : x
  2. Step 2: Convert to fraction form
    163,265.63/231,224.63 = 231,224.63/x
  3. Step 3: Cross multiply
    163,265.63x = 231,224.63 × 231,224.63
  4. Step 4: Simplify right side
    163,265.63x = 53,464,827,206.39
  5. Step 5: Solve for x
    x = 53,464,827,206.39/163,265.63
  6. Step 6: Final answer
    x = 327,471.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.