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Finding the Third Proportional to 114,754 and 248,573

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Solution

The third proportional to 114,754 and 248,573 is: 538,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,754 : 248,573 = 248,573 : x
  2. Step 2: Convert to fraction form
    114,754/248,573 = 248,573/x
  3. Step 3: Cross multiply
    114,754x = 248,573 × 248,573
  4. Step 4: Simplify right side
    114,754x = 61,788,536,329
  5. Step 5: Solve for x
    x = 61,788,536,329/114,754
  6. Step 6: Final answer
    x = 538,443.42

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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.