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Finding the Third Proportional to 79,234 and 174,020

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Solution

The third proportional to 79,234 and 174,020 is: 382,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,234 : 174,020 = 174,020 : x
  2. Step 2: Convert to fraction form
    79,234/174,020 = 174,020/x
  3. Step 3: Cross multiply
    79,234x = 174,020 × 174,020
  4. Step 4: Simplify right side
    79,234x = 30,282,960,400
  5. Step 5: Solve for x
    x = 30,282,960,400/79,234
  6. Step 6: Final answer
    x = 382,196.54

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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.