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Finding the Third Proportional to 125,257 and 260,858

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Solution

The third proportional to 125,257 and 260,858 is: 543,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,257 : 260,858 = 260,858 : x
  2. Step 2: Convert to fraction form
    125,257/260,858 = 260,858/x
  3. Step 3: Cross multiply
    125,257x = 260,858 × 260,858
  4. Step 4: Simplify right side
    125,257x = 68,046,896,164
  5. Step 5: Solve for x
    x = 68,046,896,164/125,257
  6. Step 6: Final answer
    x = 543,258.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.