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Finding the Third Proportional to 158,217.50 and 341,174

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Solution

The third proportional to 158,217.50 and 341,174 is: 735,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,217.50 : 341,174 = 341,174 : x
  2. Step 2: Convert to fraction form
    158,217.50/341,174 = 341,174/x
  3. Step 3: Cross multiply
    158,217.50x = 341,174 × 341,174
  4. Step 4: Simplify right side
    158,217.50x = 116,399,698,276
  5. Step 5: Solve for x
    x = 116,399,698,276/158,217.50
  6. Step 6: Final answer
    x = 735,694.21

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