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Finding the Third Proportional to 148,741.13 and 305,402.63

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Solution

The third proportional to 148,741.13 and 305,402.63 is: 627,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,741.13 : 305,402.63 = 305,402.63 : x
  2. Step 2: Convert to fraction form
    148,741.13/305,402.63 = 305,402.63/x
  3. Step 3: Cross multiply
    148,741.13x = 305,402.63 × 305,402.63
  4. Step 4: Simplify right side
    148,741.13x = 93,270,763,356.89
  5. Step 5: Solve for x
    x = 93,270,763,356.89/148,741.13
  6. Step 6: Final answer
    x = 627,067.76

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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.