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Finding the Third Proportional to 76,593 and 165,484.50

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Solution

The third proportional to 76,593 and 165,484.50 is: 357,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,593 : 165,484.50 = 165,484.50 : x
  2. Step 2: Convert to fraction form
    76,593/165,484.50 = 165,484.50/x
  3. Step 3: Cross multiply
    76,593x = 165,484.50 × 165,484.50
  4. Step 4: Simplify right side
    76,593x = 27,385,119,740.25
  5. Step 5: Solve for x
    x = 27,385,119,740.25/76,593
  6. Step 6: Final answer
    x = 357,540.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.