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Finding the Third Proportional to 128,414 and 273,460

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Solution

The third proportional to 128,414 and 273,460 is: 582,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414 : 273,460 = 273,460 : x
  2. Step 2: Convert to fraction form
    128,414/273,460 = 273,460/x
  3. Step 3: Cross multiply
    128,414x = 273,460 × 273,460
  4. Step 4: Simplify right side
    128,414x = 74,780,371,600
  5. Step 5: Solve for x
    x = 74,780,371,600/128,414
  6. Step 6: Final answer
    x = 582,338.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.