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Finding the Third Proportional to 119,980.13 and 262,558.13

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Solution

The third proportional to 119,980.13 and 262,558.13 is: 574,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,980.13 : 262,558.13 = 262,558.13 : x
  2. Step 2: Convert to fraction form
    119,980.13/262,558.13 = 262,558.13/x
  3. Step 3: Cross multiply
    119,980.13x = 262,558.13 × 262,558.13
  4. Step 4: Simplify right side
    119,980.13x = 68,936,769,003.52
  5. Step 5: Solve for x
    x = 68,936,769,003.52/119,980.13
  6. Step 6: Final answer
    x = 574,568.24

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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.