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Finding the Third Proportional to 193,938 and 411,352

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Solution

The third proportional to 193,938 and 411,352 is: 872,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,938 : 411,352 = 411,352 : x
  2. Step 2: Convert to fraction form
    193,938/411,352 = 411,352/x
  3. Step 3: Cross multiply
    193,938x = 411,352 × 411,352
  4. Step 4: Simplify right side
    193,938x = 169,210,467,904
  5. Step 5: Solve for x
    x = 169,210,467,904/193,938
  6. Step 6: Final answer
    x = 872,497.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.