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Finding the Third Proportional to 193,896 and 423,875

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Solution

The third proportional to 193,896 and 423,875 is: 926,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,896 : 423,875 = 423,875 : x
  2. Step 2: Convert to fraction form
    193,896/423,875 = 423,875/x
  3. Step 3: Cross multiply
    193,896x = 423,875 × 423,875
  4. Step 4: Simplify right side
    193,896x = 179,670,015,625
  5. Step 5: Solve for x
    x = 179,670,015,625/193,896
  6. Step 6: Final answer
    x = 926,630.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.