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Finding the Third Proportional to 160,584.75 and 224,518.50

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Solution

The third proportional to 160,584.75 and 224,518.50 is: 313,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,584.75 : 224,518.50 = 224,518.50 : x
  2. Step 2: Convert to fraction form
    160,584.75/224,518.50 = 224,518.50/x
  3. Step 3: Cross multiply
    160,584.75x = 224,518.50 × 224,518.50
  4. Step 4: Simplify right side
    160,584.75x = 50,408,556,842.25
  5. Step 5: Solve for x
    x = 50,408,556,842.25/160,584.75
  6. Step 6: Final answer
    x = 313,906.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.