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Finding the Third Proportional to 223,104.75 and 435,000

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Solution

The third proportional to 223,104.75 and 435,000 is: 848,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,104.75 : 435,000 = 435,000 : x
  2. Step 2: Convert to fraction form
    223,104.75/435,000 = 435,000/x
  3. Step 3: Cross multiply
    223,104.75x = 435,000 × 435,000
  4. Step 4: Simplify right side
    223,104.75x = 189,225,000,000
  5. Step 5: Solve for x
    x = 189,225,000,000/223,104.75
  6. Step 6: Final answer
    x = 848,144.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.