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Finding the Third Proportional to 233,194.50 and 617,175

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Solution

The third proportional to 233,194.50 and 617,175 is: 1,633,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,194.50 : 617,175 = 617,175 : x
  2. Step 2: Convert to fraction form
    233,194.50/617,175 = 617,175/x
  3. Step 3: Cross multiply
    233,194.50x = 617,175 × 617,175
  4. Step 4: Simplify right side
    233,194.50x = 380,904,980,625
  5. Step 5: Solve for x
    x = 380,904,980,625/233,194.50
  6. Step 6: Final answer
    x = 1,633,421.80

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.