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Finding the Third Proportional to 303,152.25 and 660,125.25

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Solution

The third proportional to 303,152.25 and 660,125.25 is: 1,437,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,152.25 : 660,125.25 = 660,125.25 : x
  2. Step 2: Convert to fraction form
    303,152.25/660,125.25 = 660,125.25/x
  3. Step 3: Cross multiply
    303,152.25x = 660,125.25 × 660,125.25
  4. Step 4: Simplify right side
    303,152.25x = 435,765,345,687.56
  5. Step 5: Solve for x
    x = 435,765,345,687.56/303,152.25
  6. Step 6: Final answer
    x = 1,437,447.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.