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Finding the Third Proportional to 128,564 and 276,864

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Solution

The third proportional to 128,564 and 276,864 is: 596,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,564 : 276,864 = 276,864 : x
  2. Step 2: Convert to fraction form
    128,564/276,864 = 276,864/x
  3. Step 3: Cross multiply
    128,564x = 276,864 × 276,864
  4. Step 4: Simplify right side
    128,564x = 76,653,674,496
  5. Step 5: Solve for x
    x = 76,653,674,496/128,564
  6. Step 6: Final answer
    x = 596,229.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.