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Finding the Third Proportional to 125,237 and 260,818

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Solution

The third proportional to 125,237 and 260,818 is: 543,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,237 : 260,818 = 260,818 : x
  2. Step 2: Convert to fraction form
    125,237/260,818 = 260,818/x
  3. Step 3: Cross multiply
    125,237x = 260,818 × 260,818
  4. Step 4: Simplify right side
    125,237x = 68,026,029,124
  5. Step 5: Solve for x
    x = 68,026,029,124/125,237
  6. Step 6: Final answer
    x = 543,178.37

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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.