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Finding the Third Proportional to 146,745 and 321,619.50

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Solution

The third proportional to 146,745 and 321,619.50 is: 704,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,745 : 321,619.50 = 321,619.50 : x
  2. Step 2: Convert to fraction form
    146,745/321,619.50 = 321,619.50/x
  3. Step 3: Cross multiply
    146,745x = 321,619.50 × 321,619.50
  4. Step 4: Simplify right side
    146,745x = 103,439,102,780.25
  5. Step 5: Solve for x
    x = 103,439,102,780.25/146,745
  6. Step 6: Final answer
    x = 704,890.13

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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.