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Finding the Third Proportional to 128,766 and 269,298

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Solution

The third proportional to 128,766 and 269,298 is: 563,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,766 : 269,298 = 269,298 : x
  2. Step 2: Convert to fraction form
    128,766/269,298 = 269,298/x
  3. Step 3: Cross multiply
    128,766x = 269,298 × 269,298
  4. Step 4: Simplify right side
    128,766x = 72,521,412,804
  5. Step 5: Solve for x
    x = 72,521,412,804/128,766
  6. Step 6: Final answer
    x = 563,203.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.