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Finding the Third Proportional to 125,295 and 260,958

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Solution

The third proportional to 125,295 and 260,958 is: 543,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,295 : 260,958 = 260,958 : x
  2. Step 2: Convert to fraction form
    125,295/260,958 = 260,958/x
  3. Step 3: Cross multiply
    125,295x = 260,958 × 260,958
  4. Step 4: Simplify right side
    125,295x = 68,099,077,764
  5. Step 5: Solve for x
    x = 68,099,077,764/125,295
  6. Step 6: Final answer
    x = 543,509.94

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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.