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Finding the Third Proportional to 193,734 and 418,592

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Solution

The third proportional to 193,734 and 418,592 is: 904,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,734 : 418,592 = 418,592 : x
  2. Step 2: Convert to fraction form
    193,734/418,592 = 418,592/x
  3. Step 3: Cross multiply
    193,734x = 418,592 × 418,592
  4. Step 4: Simplify right side
    193,734x = 175,219,262,464
  5. Step 5: Solve for x
    x = 175,219,262,464/193,734
  6. Step 6: Final answer
    x = 904,432.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.