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Finding the Third Proportional to 175,513.50 and 192,735

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Solution

The third proportional to 175,513.50 and 192,735 is: 211,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,513.50 : 192,735 = 192,735 : x
  2. Step 2: Convert to fraction form
    175,513.50/192,735 = 192,735/x
  3. Step 3: Cross multiply
    175,513.50x = 192,735 × 192,735
  4. Step 4: Simplify right side
    175,513.50x = 37,146,780,225
  5. Step 5: Solve for x
    x = 37,146,780,225/175,513.50
  6. Step 6: Final answer
    x = 211,646.28

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.