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Finding the Third Proportional to 223,105.25 and 435,001

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Solution

The third proportional to 223,105.25 and 435,001 is: 848,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,105.25 : 435,001 = 435,001 : x
  2. Step 2: Convert to fraction form
    223,105.25/435,001 = 435,001/x
  3. Step 3: Cross multiply
    223,105.25x = 435,001 × 435,001
  4. Step 4: Simplify right side
    223,105.25x = 189,225,870,001
  5. Step 5: Solve for x
    x = 189,225,870,001/223,105.25
  6. Step 6: Final answer
    x = 848,146.20

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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.