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Finding the Third Proportional to 200,080.50 and 305,125

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Solution

The third proportional to 200,080.50 and 305,125 is: 465,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,080.50 : 305,125 = 305,125 : x
  2. Step 2: Convert to fraction form
    200,080.50/305,125 = 305,125/x
  3. Step 3: Cross multiply
    200,080.50x = 305,125 × 305,125
  4. Step 4: Simplify right side
    200,080.50x = 93,101,265,625
  5. Step 5: Solve for x
    x = 93,101,265,625/200,080.50
  6. Step 6: Final answer
    x = 465,319.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.