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Finding the Third Proportional to 161,713 and 254,450

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Solution

The third proportional to 161,713 and 254,450 is: 400,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,713 : 254,450 = 254,450 : x
  2. Step 2: Convert to fraction form
    161,713/254,450 = 254,450/x
  3. Step 3: Cross multiply
    161,713x = 254,450 × 254,450
  4. Step 4: Simplify right side
    161,713x = 64,744,802,500
  5. Step 5: Solve for x
    x = 64,744,802,500/161,713
  6. Step 6: Final answer
    x = 400,368.57

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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.