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Finding the Third Proportional to 76,394 and 165,530

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Solution

The third proportional to 76,394 and 165,530 is: 358,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,394 : 165,530 = 165,530 : x
  2. Step 2: Convert to fraction form
    76,394/165,530 = 165,530/x
  3. Step 3: Cross multiply
    76,394x = 165,530 × 165,530
  4. Step 4: Simplify right side
    76,394x = 27,400,180,900
  5. Step 5: Solve for x
    x = 27,400,180,900/76,394
  6. Step 6: Final answer
    x = 358,669.28

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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.