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Finding the Third Proportional to 114,302 and 175,797

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Solution

The third proportional to 114,302 and 175,797 is: 270,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,302 : 175,797 = 175,797 : x
  2. Step 2: Convert to fraction form
    114,302/175,797 = 175,797/x
  3. Step 3: Cross multiply
    114,302x = 175,797 × 175,797
  4. Step 4: Simplify right side
    114,302x = 30,904,585,209
  5. Step 5: Solve for x
    x = 30,904,585,209/114,302
  6. Step 6: Final answer
    x = 270,376.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.