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Finding the Third Proportional to 105,498 and 248,886

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Solution

The third proportional to 105,498 and 248,886 is: 587,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,498 : 248,886 = 248,886 : x
  2. Step 2: Convert to fraction form
    105,498/248,886 = 248,886/x
  3. Step 3: Cross multiply
    105,498x = 248,886 × 248,886
  4. Step 4: Simplify right side
    105,498x = 61,944,240,996
  5. Step 5: Solve for x
    x = 61,944,240,996/105,498
  6. Step 6: Final answer
    x = 587,160.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.