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Finding the Third Proportional to 119,074.64 and 256,845.09

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Solution

The third proportional to 119,074.64 and 256,845.09 is: 554,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,074.64 : 256,845.09 = 256,845.09 : x
  2. Step 2: Convert to fraction form
    119,074.64/256,845.09 = 256,845.09/x
  3. Step 3: Cross multiply
    119,074.64x = 256,845.09 × 256,845.09
  4. Step 4: Simplify right side
    119,074.64x = 65,969,402,183.45
  5. Step 5: Solve for x
    x = 65,969,402,183.45/119,074.64
  6. Step 6: Final answer
    x = 554,017.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.