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Finding the Third Proportional to 88,960 and 193,408

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Solution

The third proportional to 88,960 and 193,408 is: 420,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,960 : 193,408 = 193,408 : x
  2. Step 2: Convert to fraction form
    88,960/193,408 = 193,408/x
  3. Step 3: Cross multiply
    88,960x = 193,408 × 193,408
  4. Step 4: Simplify right side
    88,960x = 37,406,654,464
  5. Step 5: Solve for x
    x = 37,406,654,464/88,960
  6. Step 6: Final answer
    x = 420,488.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.