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Finding the Third Proportional to 114,317 and 250,768

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Solution

The third proportional to 114,317 and 250,768 is: 550,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,317 : 250,768 = 250,768 : x
  2. Step 2: Convert to fraction form
    114,317/250,768 = 250,768/x
  3. Step 3: Cross multiply
    114,317x = 250,768 × 250,768
  4. Step 4: Simplify right side
    114,317x = 62,884,589,824
  5. Step 5: Solve for x
    x = 62,884,589,824/114,317
  6. Step 6: Final answer
    x = 550,089.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.