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Finding the Third Proportional to 79,234 and 174,018

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Solution

The third proportional to 79,234 and 174,018 is: 382,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,234 : 174,018 = 174,018 : x
  2. Step 2: Convert to fraction form
    79,234/174,018 = 174,018/x
  3. Step 3: Cross multiply
    79,234x = 174,018 × 174,018
  4. Step 4: Simplify right side
    79,234x = 30,282,264,324
  5. Step 5: Solve for x
    x = 30,282,264,324/79,234
  6. Step 6: Final answer
    x = 382,187.75

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