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Finding the Third Proportional to 119,466 and 260,796

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Solution

The third proportional to 119,466 and 260,796 is: 569,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,466 : 260,796 = 260,796 : x
  2. Step 2: Convert to fraction form
    119,466/260,796 = 260,796/x
  3. Step 3: Cross multiply
    119,466x = 260,796 × 260,796
  4. Step 4: Simplify right side
    119,466x = 68,014,553,616
  5. Step 5: Solve for x
    x = 68,014,553,616/119,466
  6. Step 6: Final answer
    x = 569,321.43

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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.