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Finding the Third Proportional to 119,954 and 260,644

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Solution

The third proportional to 119,954 and 260,644 is: 566,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,954 : 260,644 = 260,644 : x
  2. Step 2: Convert to fraction form
    119,954/260,644 = 260,644/x
  3. Step 3: Cross multiply
    119,954x = 260,644 × 260,644
  4. Step 4: Simplify right side
    119,954x = 67,935,294,736
  5. Step 5: Solve for x
    x = 67,935,294,736/119,954
  6. Step 6: Final answer
    x = 566,344.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.