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Finding the Third Proportional to 193,774 and 425,639

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Solution

The third proportional to 193,774 and 425,639 is: 934,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,774 : 425,639 = 425,639 : x
  2. Step 2: Convert to fraction form
    193,774/425,639 = 425,639/x
  3. Step 3: Cross multiply
    193,774x = 425,639 × 425,639
  4. Step 4: Simplify right side
    193,774x = 181,168,558,321
  5. Step 5: Solve for x
    x = 181,168,558,321/193,774
  6. Step 6: Final answer
    x = 934,947.71

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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.