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Finding the Third Proportional to 119,774 and 260,797

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Solution

The third proportional to 119,774 and 260,797 is: 567,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,774 : 260,797 = 260,797 : x
  2. Step 2: Convert to fraction form
    119,774/260,797 = 260,797/x
  3. Step 3: Cross multiply
    119,774x = 260,797 × 260,797
  4. Step 4: Simplify right side
    119,774x = 68,015,075,209
  5. Step 5: Solve for x
    x = 68,015,075,209/119,774
  6. Step 6: Final answer
    x = 567,861.77

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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.