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Finding the Third Proportional to 76,798.50 and 168,358.69

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Solution

The third proportional to 76,798.50 and 168,358.69 is: 369,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,798.50 : 168,358.69 = 168,358.69 : x
  2. Step 2: Convert to fraction form
    76,798.50/168,358.69 = 168,358.69/x
  3. Step 3: Cross multiply
    76,798.50x = 168,358.69 × 168,358.69
  4. Step 4: Simplify right side
    76,798.50x = 28,344,647,656.72
  5. Step 5: Solve for x
    x = 28,344,647,656.72/76,798.50
  6. Step 6: Final answer
    x = 369,078.14

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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.