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Finding the Third Proportional to 172,852 and 282,250

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Solution

The third proportional to 172,852 and 282,250 is: 460,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,852 : 282,250 = 282,250 : x
  2. Step 2: Convert to fraction form
    172,852/282,250 = 282,250/x
  3. Step 3: Cross multiply
    172,852x = 282,250 × 282,250
  4. Step 4: Simplify right side
    172,852x = 79,665,062,500
  5. Step 5: Solve for x
    x = 79,665,062,500/172,852
  6. Step 6: Final answer
    x = 460,885.97

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.