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Finding the Third Proportional to 76,372.88 and 165,457.69

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Solution

The third proportional to 76,372.88 and 165,457.69 is: 358,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,372.88 : 165,457.69 = 165,457.69 : x
  2. Step 2: Convert to fraction form
    76,372.88/165,457.69 = 165,457.69/x
  3. Step 3: Cross multiply
    76,372.88x = 165,457.69 × 165,457.69
  4. Step 4: Simplify right side
    76,372.88x = 27,376,246,352.85
  5. Step 5: Solve for x
    x = 27,376,246,352.85/76,372.88
  6. Step 6: Final answer
    x = 358,455.10

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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.