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Finding the Third Proportional to 147,330.56 and 321,645.94

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Solution

The third proportional to 147,330.56 and 321,645.94 is: 702,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,330.56 : 321,645.94 = 321,645.94 : x
  2. Step 2: Convert to fraction form
    147,330.56/321,645.94 = 321,645.94/x
  3. Step 3: Cross multiply
    147,330.56x = 321,645.94 × 321,645.94
  4. Step 4: Simplify right side
    147,330.56x = 103,456,109,110.25
  5. Step 5: Solve for x
    x = 103,456,109,110.25/147,330.56
  6. Step 6: Final answer
    x = 702,203.99

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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.