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Finding the Third Proportional to 125,235 and 260,814

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Solution

The third proportional to 125,235 and 260,814 is: 543,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,235 : 260,814 = 260,814 : x
  2. Step 2: Convert to fraction form
    125,235/260,814 = 260,814/x
  3. Step 3: Cross multiply
    125,235x = 260,814 × 260,814
  4. Step 4: Simplify right side
    125,235x = 68,023,942,596
  5. Step 5: Solve for x
    x = 68,023,942,596/125,235
  6. Step 6: Final answer
    x = 543,170.38

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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.