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Finding the Third Proportional to 114,544 and 175,218

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Solution

The third proportional to 114,544 and 175,218 is: 268,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544 : 175,218 = 175,218 : x
  2. Step 2: Convert to fraction form
    114,544/175,218 = 175,218/x
  3. Step 3: Cross multiply
    114,544x = 175,218 × 175,218
  4. Step 4: Simplify right side
    114,544x = 30,701,347,524
  5. Step 5: Solve for x
    x = 30,701,347,524/114,544
  6. Step 6: Final answer
    x = 268,031.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.