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Finding the Third Proportional to 76,756.50 and 168,336

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Solution

The third proportional to 76,756.50 and 168,336 is: 369,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,756.50 : 168,336 = 168,336 : x
  2. Step 2: Convert to fraction form
    76,756.50/168,336 = 168,336/x
  3. Step 3: Cross multiply
    76,756.50x = 168,336 × 168,336
  4. Step 4: Simplify right side
    76,756.50x = 28,337,008,896
  5. Step 5: Solve for x
    x = 28,337,008,896/76,756.50
  6. Step 6: Final answer
    x = 369,180.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.