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Finding the Third Proportional to 193,849 and 423,702

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Solution

The third proportional to 193,849 and 423,702 is: 926,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,849 : 423,702 = 423,702 : x
  2. Step 2: Convert to fraction form
    193,849/423,702 = 423,702/x
  3. Step 3: Cross multiply
    193,849x = 423,702 × 423,702
  4. Step 4: Simplify right side
    193,849x = 179,523,384,804
  5. Step 5: Solve for x
    x = 179,523,384,804/193,849
  6. Step 6: Final answer
    x = 926,099.10

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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.