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Finding the Third Proportional to 192,178.50 and 298,588

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Solution

The third proportional to 192,178.50 and 298,588 is: 463,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,178.50 : 298,588 = 298,588 : x
  2. Step 2: Convert to fraction form
    192,178.50/298,588 = 298,588/x
  3. Step 3: Cross multiply
    192,178.50x = 298,588 × 298,588
  4. Step 4: Simplify right side
    192,178.50x = 89,154,793,744
  5. Step 5: Solve for x
    x = 89,154,793,744/192,178.50
  6. Step 6: Final answer
    x = 463,916.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.