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Finding the Third Proportional to 146,636.44 and 321,300

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Solution

The third proportional to 146,636.44 and 321,300 is: 704,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,636.44 : 321,300 = 321,300 : x
  2. Step 2: Convert to fraction form
    146,636.44/321,300 = 321,300/x
  3. Step 3: Cross multiply
    146,636.44x = 321,300 × 321,300
  4. Step 4: Simplify right side
    146,636.44x = 103,233,690,000
  5. Step 5: Solve for x
    x = 103,233,690,000/146,636.44
  6. Step 6: Final answer
    x = 704,011.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.