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Finding the Third Proportional to 114,498 and 248,055

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Solution

The third proportional to 114,498 and 248,055 is: 537,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,498 : 248,055 = 248,055 : x
  2. Step 2: Convert to fraction form
    114,498/248,055 = 248,055/x
  3. Step 3: Cross multiply
    114,498x = 248,055 × 248,055
  4. Step 4: Simplify right side
    114,498x = 61,531,283,025
  5. Step 5: Solve for x
    x = 61,531,283,025/114,498
  6. Step 6: Final answer
    x = 537,400.51

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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.