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Finding the Third Proportional to 147,723 and 324,969

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Solution

The third proportional to 147,723 and 324,969 is: 714,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,723 : 324,969 = 324,969 : x
  2. Step 2: Convert to fraction form
    147,723/324,969 = 324,969/x
  3. Step 3: Cross multiply
    147,723x = 324,969 × 324,969
  4. Step 4: Simplify right side
    147,723x = 105,604,850,961
  5. Step 5: Solve for x
    x = 105,604,850,961/147,723
  6. Step 6: Final answer
    x = 714,884.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.