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Finding the Third Proportional to 148,874 and 323,989.75

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Solution

The third proportional to 148,874 and 323,989.75 is: 705,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,874 : 323,989.75 = 323,989.75 : x
  2. Step 2: Convert to fraction form
    148,874/323,989.75 = 323,989.75/x
  3. Step 3: Cross multiply
    148,874x = 323,989.75 × 323,989.75
  4. Step 4: Simplify right side
    148,874x = 104,969,358,105.06
  5. Step 5: Solve for x
    x = 104,969,358,105.06/148,874
  6. Step 6: Final answer
    x = 705,088.59

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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.