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Finding the Third Proportional to 77,960.25 and 168,394.50

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Solution

The third proportional to 77,960.25 and 168,394.50 is: 363,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,960.25 : 168,394.50 = 168,394.50 : x
  2. Step 2: Convert to fraction form
    77,960.25/168,394.50 = 168,394.50/x
  3. Step 3: Cross multiply
    77,960.25x = 168,394.50 × 168,394.50
  4. Step 4: Simplify right side
    77,960.25x = 28,356,707,630.25
  5. Step 5: Solve for x
    x = 28,356,707,630.25/77,960.25
  6. Step 6: Final answer
    x = 363,732.90

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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.