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Finding the Third Proportional to 122,914 and 260,228

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Solution

The third proportional to 122,914 and 260,228 is: 550,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,914 : 260,228 = 260,228 : x
  2. Step 2: Convert to fraction form
    122,914/260,228 = 260,228/x
  3. Step 3: Cross multiply
    122,914x = 260,228 × 260,228
  4. Step 4: Simplify right side
    122,914x = 67,718,611,984
  5. Step 5: Solve for x
    x = 67,718,611,984/122,914
  6. Step 6: Final answer
    x = 550,943.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.