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Finding the Third Proportional to 303,182 and 660,151

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Solution

The third proportional to 303,182 and 660,151 is: 1,437,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,182 : 660,151 = 660,151 : x
  2. Step 2: Convert to fraction form
    303,182/660,151 = 660,151/x
  3. Step 3: Cross multiply
    303,182x = 660,151 × 660,151
  4. Step 4: Simplify right side
    303,182x = 435,799,342,801
  5. Step 5: Solve for x
    x = 435,799,342,801/303,182
  6. Step 6: Final answer
    x = 1,437,418.26

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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.