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Finding the Third Proportional to 147,323.50 and 321,634.23

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Solution

The third proportional to 147,323.50 and 321,634.23 is: 702,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,323.50 : 321,634.23 = 321,634.23 : x
  2. Step 2: Convert to fraction form
    147,323.50/321,634.23 = 321,634.23/x
  3. Step 3: Cross multiply
    147,323.50x = 321,634.23 × 321,634.23
  4. Step 4: Simplify right side
    147,323.50x = 103,448,578,209.23
  5. Step 5: Solve for x
    x = 103,448,578,209.23/147,323.50
  6. Step 6: Final answer
    x = 702,186.56

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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.