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Finding the Third Proportional to 76,365 and 167,788.13

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Solution

The third proportional to 76,365 and 167,788.13 is: 368,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,365 : 167,788.13 = 167,788.13 : x
  2. Step 2: Convert to fraction form
    76,365/167,788.13 = 167,788.13/x
  3. Step 3: Cross multiply
    76,365x = 167,788.13 × 167,788.13
  4. Step 4: Simplify right side
    76,365x = 28,152,854,891.02
  5. Step 5: Solve for x
    x = 28,152,854,891.02/76,365
  6. Step 6: Final answer
    x = 368,661.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.