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Finding the Third Proportional to 114,742 and 248,546

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Solution

The third proportional to 114,742 and 248,546 is: 538,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,742 : 248,546 = 248,546 : x
  2. Step 2: Convert to fraction form
    114,742/248,546 = 248,546/x
  3. Step 3: Cross multiply
    114,742x = 248,546 × 248,546
  4. Step 4: Simplify right side
    114,742x = 61,775,114,116
  5. Step 5: Solve for x
    x = 61,775,114,116/114,742
  6. Step 6: Final answer
    x = 538,382.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.