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Finding the Third Proportional to 251,148 and 541,661

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Solution

The third proportional to 251,148 and 541,661 is: 1,168,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,148 : 541,661 = 541,661 : x
  2. Step 2: Convert to fraction form
    251,148/541,661 = 541,661/x
  3. Step 3: Cross multiply
    251,148x = 541,661 × 541,661
  4. Step 4: Simplify right side
    251,148x = 293,396,638,921
  5. Step 5: Solve for x
    x = 293,396,638,921/251,148
  6. Step 6: Final answer
    x = 1,168,222.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.