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Finding the Third Proportional to 273,246 and 418,161

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Solution

The third proportional to 273,246 and 418,161 is: 639,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,246 : 418,161 = 418,161 : x
  2. Step 2: Convert to fraction form
    273,246/418,161 = 418,161/x
  3. Step 3: Cross multiply
    273,246x = 418,161 × 418,161
  4. Step 4: Simplify right side
    273,246x = 174,858,621,921
  5. Step 5: Solve for x
    x = 174,858,621,921/273,246
  6. Step 6: Final answer
    x = 639,931.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.