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Finding the Third Proportional to 302,357.25 and 451,955.25

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Solution

The third proportional to 302,357.25 and 451,955.25 is: 675,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,357.25 : 451,955.25 = 451,955.25 : x
  2. Step 2: Convert to fraction form
    302,357.25/451,955.25 = 451,955.25/x
  3. Step 3: Cross multiply
    302,357.25x = 451,955.25 × 451,955.25
  4. Step 4: Simplify right side
    302,357.25x = 204,263,548,002.56
  5. Step 5: Solve for x
    x = 204,263,548,002.56/302,357.25
  6. Step 6: Final answer
    x = 675,570.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.