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Finding the Third Proportional to 144,724 and 223,647

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Solution

The third proportional to 144,724 and 223,647 is: 345,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,724 : 223,647 = 223,647 : x
  2. Step 2: Convert to fraction form
    144,724/223,647 = 223,647/x
  3. Step 3: Cross multiply
    144,724x = 223,647 × 223,647
  4. Step 4: Simplify right side
    144,724x = 50,017,980,609
  5. Step 5: Solve for x
    x = 50,017,980,609/144,724
  6. Step 6: Final answer
    x = 345,609.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.