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Finding the Third Proportional to 169,911 and 269,932.50

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Solution

The third proportional to 169,911 and 269,932.50 is: 428,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,911 : 269,932.50 = 269,932.50 : x
  2. Step 2: Convert to fraction form
    169,911/269,932.50 = 269,932.50/x
  3. Step 3: Cross multiply
    169,911x = 269,932.50 × 269,932.50
  4. Step 4: Simplify right side
    169,911x = 72,863,554,556.25
  5. Step 5: Solve for x
    x = 72,863,554,556.25/169,911
  6. Step 6: Final answer
    x = 428,833.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.