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Finding the Third Proportional to 260,080.50 and 557,025

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Solution

The third proportional to 260,080.50 and 557,025 is: 1,193,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,080.50 : 557,025 = 557,025 : x
  2. Step 2: Convert to fraction form
    260,080.50/557,025 = 557,025/x
  3. Step 3: Cross multiply
    260,080.50x = 557,025 × 557,025
  4. Step 4: Simplify right side
    260,080.50x = 310,276,850,625
  5. Step 5: Solve for x
    x = 310,276,850,625/260,080.50
  6. Step 6: Final answer
    x = 1,193,003.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.