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Finding the Third Proportional to 182,169.50 and 254,742

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Solution

The third proportional to 182,169.50 and 254,742 is: 356,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,169.50 : 254,742 = 254,742 : x
  2. Step 2: Convert to fraction form
    182,169.50/254,742 = 254,742/x
  3. Step 3: Cross multiply
    182,169.50x = 254,742 × 254,742
  4. Step 4: Simplify right side
    182,169.50x = 64,893,486,564
  5. Step 5: Solve for x
    x = 64,893,486,564/182,169.50
  6. Step 6: Final answer
    x = 356,225.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.