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Finding the Third Proportional to 122,271 and 257,814

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Solution

The third proportional to 122,271 and 257,814 is: 543,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,271 : 257,814 = 257,814 : x
  2. Step 2: Convert to fraction form
    122,271/257,814 = 257,814/x
  3. Step 3: Cross multiply
    122,271x = 257,814 × 257,814
  4. Step 4: Simplify right side
    122,271x = 66,468,058,596
  5. Step 5: Solve for x
    x = 66,468,058,596/122,271
  6. Step 6: Final answer
    x = 543,612.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.