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Finding the Third Proportional to 148,741.75 and 305,403.75

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Solution

The third proportional to 148,741.75 and 305,403.75 is: 627,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,741.75 : 305,403.75 = 305,403.75 : x
  2. Step 2: Convert to fraction form
    148,741.75/305,403.75 = 305,403.75/x
  3. Step 3: Cross multiply
    148,741.75x = 305,403.75 × 305,403.75
  4. Step 4: Simplify right side
    148,741.75x = 93,271,450,514.06
  5. Step 5: Solve for x
    x = 93,271,450,514.06/148,741.75
  6. Step 6: Final answer
    x = 627,069.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.