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Finding the Third Proportional to 116,412.19 and 179,774.44

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Solution

The third proportional to 116,412.19 and 179,774.44 is: 277,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,412.19 : 179,774.44 = 179,774.44 : x
  2. Step 2: Convert to fraction form
    116,412.19/179,774.44 = 179,774.44/x
  3. Step 3: Cross multiply
    116,412.19x = 179,774.44 × 179,774.44
  4. Step 4: Simplify right side
    116,412.19x = 32,318,848,378.44
  5. Step 5: Solve for x
    x = 32,318,848,378.44/116,412.19
  6. Step 6: Final answer
    x = 277,624.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.