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Finding the Third Proportional to 128,826 and 279,097

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Solution

The third proportional to 128,826 and 279,097 is: 604,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,826 : 279,097 = 279,097 : x
  2. Step 2: Convert to fraction form
    128,826/279,097 = 279,097/x
  3. Step 3: Cross multiply
    128,826x = 279,097 × 279,097
  4. Step 4: Simplify right side
    128,826x = 77,895,135,409
  5. Step 5: Solve for x
    x = 77,895,135,409/128,826
  6. Step 6: Final answer
    x = 604,653.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.