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Finding the Third Proportional to 76,308 and 165,750

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Solution

The third proportional to 76,308 and 165,750 is: 360,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308 : 165,750 = 165,750 : x
  2. Step 2: Convert to fraction form
    76,308/165,750 = 165,750/x
  3. Step 3: Cross multiply
    76,308x = 165,750 × 165,750
  4. Step 4: Simplify right side
    76,308x = 27,473,062,500
  5. Step 5: Solve for x
    x = 27,473,062,500/76,308
  6. Step 6: Final answer
    x = 360,028.60

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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.