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Finding the Third Proportional to 147,359.50 and 321,704

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Solution

The third proportional to 147,359.50 and 321,704 is: 702,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,359.50 : 321,704 = 321,704 : x
  2. Step 2: Convert to fraction form
    147,359.50/321,704 = 321,704/x
  3. Step 3: Cross multiply
    147,359.50x = 321,704 × 321,704
  4. Step 4: Simplify right side
    147,359.50x = 103,493,463,616
  5. Step 5: Solve for x
    x = 103,493,463,616/147,359.50
  6. Step 6: Final answer
    x = 702,319.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.