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Finding the Third Proportional to 148,214.25 and 329,589

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Solution

The third proportional to 148,214.25 and 329,589 is: 732,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,214.25 : 329,589 = 329,589 : x
  2. Step 2: Convert to fraction form
    148,214.25/329,589 = 329,589/x
  3. Step 3: Cross multiply
    148,214.25x = 329,589 × 329,589
  4. Step 4: Simplify right side
    148,214.25x = 108,628,908,921
  5. Step 5: Solve for x
    x = 108,628,908,921/148,214.25
  6. Step 6: Final answer
    x = 732,918.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.