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Finding the Third Proportional to 180,302 and 282,831

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Solution

The third proportional to 180,302 and 282,831 is: 443,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,302 : 282,831 = 282,831 : x
  2. Step 2: Convert to fraction form
    180,302/282,831 = 282,831/x
  3. Step 3: Cross multiply
    180,302x = 282,831 × 282,831
  4. Step 4: Simplify right side
    180,302x = 79,993,374,561
  5. Step 5: Solve for x
    x = 79,993,374,561/180,302
  6. Step 6: Final answer
    x = 443,663.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.