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Finding the Third Proportional to 193,006 and 425,276

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Solution

The third proportional to 193,006 and 425,276 is: 937,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,006 : 425,276 = 425,276 : x
  2. Step 2: Convert to fraction form
    193,006/425,276 = 425,276/x
  3. Step 3: Cross multiply
    193,006x = 425,276 × 425,276
  4. Step 4: Simplify right side
    193,006x = 180,859,676,176
  5. Step 5: Solve for x
    x = 180,859,676,176/193,006
  6. Step 6: Final answer
    x = 937,067.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.