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Finding the Third Proportional to 76,298.63 and 165,732.75

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Solution

The third proportional to 76,298.63 and 165,732.75 is: 359,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,298.63 : 165,732.75 = 165,732.75 : x
  2. Step 2: Convert to fraction form
    76,298.63/165,732.75 = 165,732.75/x
  3. Step 3: Cross multiply
    76,298.63x = 165,732.75 × 165,732.75
  4. Step 4: Simplify right side
    76,298.63x = 27,467,344,422.56
  5. Step 5: Solve for x
    x = 27,467,344,422.56/76,298.63
  6. Step 6: Final answer
    x = 359,997.90

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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.