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Finding the Third Proportional to 270,138 and 582,172.50

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Solution

The third proportional to 270,138 and 582,172.50 is: 1,254,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,138 : 582,172.50 = 582,172.50 : x
  2. Step 2: Convert to fraction form
    270,138/582,172.50 = 582,172.50/x
  3. Step 3: Cross multiply
    270,138x = 582,172.50 × 582,172.50
  4. Step 4: Simplify right side
    270,138x = 338,924,819,756.25
  5. Step 5: Solve for x
    x = 338,924,819,756.25/270,138
  6. Step 6: Final answer
    x = 1,254,635.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.