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Finding the Third Proportional to 167,358 and 234,085

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Solution

The third proportional to 167,358 and 234,085 is: 327,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,358 : 234,085 = 234,085 : x
  2. Step 2: Convert to fraction form
    167,358/234,085 = 234,085/x
  3. Step 3: Cross multiply
    167,358x = 234,085 × 234,085
  4. Step 4: Simplify right side
    167,358x = 54,795,787,225
  5. Step 5: Solve for x
    x = 54,795,787,225/167,358
  6. Step 6: Final answer
    x = 327,416.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.