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Finding the Third Proportional to 177,219 and 269,106.75

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Solution

The third proportional to 177,219 and 269,106.75 is: 408,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,219 : 269,106.75 = 269,106.75 : x
  2. Step 2: Convert to fraction form
    177,219/269,106.75 = 269,106.75/x
  3. Step 3: Cross multiply
    177,219x = 269,106.75 × 269,106.75
  4. Step 4: Simplify right side
    177,219x = 72,418,442,895.56
  5. Step 5: Solve for x
    x = 72,418,442,895.56/177,219
  6. Step 6: Final answer
    x = 408,638.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.