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Finding the Third Proportional to 273,424 and 410,131

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Solution

The third proportional to 273,424 and 410,131 is: 615,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,424 : 410,131 = 410,131 : x
  2. Step 2: Convert to fraction form
    273,424/410,131 = 410,131/x
  3. Step 3: Cross multiply
    273,424x = 410,131 × 410,131
  4. Step 4: Simplify right side
    273,424x = 168,207,437,161
  5. Step 5: Solve for x
    x = 168,207,437,161/273,424
  6. Step 6: Final answer
    x = 615,189.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.