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Finding the Third Proportional to 171,473.63 and 231,309

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Solution

The third proportional to 171,473.63 and 231,309 is: 312,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,473.63 : 231,309 = 231,309 : x
  2. Step 2: Convert to fraction form
    171,473.63/231,309 = 231,309/x
  3. Step 3: Cross multiply
    171,473.63x = 231,309 × 231,309
  4. Step 4: Simplify right side
    171,473.63x = 53,503,853,481
  5. Step 5: Solve for x
    x = 53,503,853,481/171,473.63
  6. Step 6: Final answer
    x = 312,023.81

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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.