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Finding the Third Proportional to 119,595 and 260,211

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Solution

The third proportional to 119,595 and 260,211 is: 566,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,595 : 260,211 = 260,211 : x
  2. Step 2: Convert to fraction form
    119,595/260,211 = 260,211/x
  3. Step 3: Cross multiply
    119,595x = 260,211 × 260,211
  4. Step 4: Simplify right side
    119,595x = 67,709,764,521
  5. Step 5: Solve for x
    x = 67,709,764,521/119,595
  6. Step 6: Final answer
    x = 566,158.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.