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Finding the Third Proportional to 157,243.50 and 339,516

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Solution

The third proportional to 157,243.50 and 339,516 is: 733,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,243.50 : 339,516 = 339,516 : x
  2. Step 2: Convert to fraction form
    157,243.50/339,516 = 339,516/x
  3. Step 3: Cross multiply
    157,243.50x = 339,516 × 339,516
  4. Step 4: Simplify right side
    157,243.50x = 115,271,114,256
  5. Step 5: Solve for x
    x = 115,271,114,256/157,243.50
  6. Step 6: Final answer
    x = 733,073.95

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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.