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Finding the Third Proportional to 193,914 and 297,960

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Solution

The third proportional to 193,914 and 297,960 is: 457,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,914 : 297,960 = 297,960 : x
  2. Step 2: Convert to fraction form
    193,914/297,960 = 297,960/x
  3. Step 3: Cross multiply
    193,914x = 297,960 × 297,960
  4. Step 4: Simplify right side
    193,914x = 88,780,161,600
  5. Step 5: Solve for x
    x = 88,780,161,600/193,914
  6. Step 6: Final answer
    x = 457,832.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.