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Finding the Third Proportional to 164,761.50 and 250,302

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Solution

The third proportional to 164,761.50 and 250,302 is: 380,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,761.50 : 250,302 = 250,302 : x
  2. Step 2: Convert to fraction form
    164,761.50/250,302 = 250,302/x
  3. Step 3: Cross multiply
    164,761.50x = 250,302 × 250,302
  4. Step 4: Simplify right side
    164,761.50x = 62,651,091,204
  5. Step 5: Solve for x
    x = 62,651,091,204/164,761.50
  6. Step 6: Final answer
    x = 380,253.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.