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Finding the Third Proportional to 148,434 and 302,052

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Solution

The third proportional to 148,434 and 302,052 is: 614,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,434 : 302,052 = 302,052 : x
  2. Step 2: Convert to fraction form
    148,434/302,052 = 302,052/x
  3. Step 3: Cross multiply
    148,434x = 302,052 × 302,052
  4. Step 4: Simplify right side
    148,434x = 91,235,410,704
  5. Step 5: Solve for x
    x = 91,235,410,704/148,434
  6. Step 6: Final answer
    x = 614,653.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.