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Finding the Third Proportional to 193,662.50 and 264,023

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Solution

The third proportional to 193,662.50 and 264,023 is: 359,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,662.50 : 264,023 = 264,023 : x
  2. Step 2: Convert to fraction form
    193,662.50/264,023 = 264,023/x
  3. Step 3: Cross multiply
    193,662.50x = 264,023 × 264,023
  4. Step 4: Simplify right side
    193,662.50x = 69,708,144,529
  5. Step 5: Solve for x
    x = 69,708,144,529/193,662.50
  6. Step 6: Final answer
    x = 359,946.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.