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Finding the Third Proportional to 130,395.75 and 275,035.50

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Solution

The third proportional to 130,395.75 and 275,035.50 is: 580,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,395.75 : 275,035.50 = 275,035.50 : x
  2. Step 2: Convert to fraction form
    130,395.75/275,035.50 = 275,035.50/x
  3. Step 3: Cross multiply
    130,395.75x = 275,035.50 × 275,035.50
  4. Step 4: Simplify right side
    130,395.75x = 75,644,526,260.25
  5. Step 5: Solve for x
    x = 75,644,526,260.25/130,395.75
  6. Step 6: Final answer
    x = 580,114.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.