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Finding the Third Proportional to 273,410 and 410,107

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Solution

The third proportional to 273,410 and 410,107 is: 615,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,410 : 410,107 = 410,107 : x
  2. Step 2: Convert to fraction form
    273,410/410,107 = 410,107/x
  3. Step 3: Cross multiply
    273,410x = 410,107 × 410,107
  4. Step 4: Simplify right side
    273,410x = 168,187,751,449
  5. Step 5: Solve for x
    x = 168,187,751,449/273,410
  6. Step 6: Final answer
    x = 615,148.50

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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.