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Finding the Third Proportional to 119,424 and 260,992

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Solution

The third proportional to 119,424 and 260,992 is: 570,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,424 : 260,992 = 260,992 : x
  2. Step 2: Convert to fraction form
    119,424/260,992 = 260,992/x
  3. Step 3: Cross multiply
    119,424x = 260,992 × 260,992
  4. Step 4: Simplify right side
    119,424x = 68,116,824,064
  5. Step 5: Solve for x
    x = 68,116,824,064/119,424
  6. Step 6: Final answer
    x = 570,378.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.