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Finding the Third Proportional to 176,563.50 and 266,505

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Solution

The third proportional to 176,563.50 and 266,505 is: 402,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,563.50 : 266,505 = 266,505 : x
  2. Step 2: Convert to fraction form
    176,563.50/266,505 = 266,505/x
  3. Step 3: Cross multiply
    176,563.50x = 266,505 × 266,505
  4. Step 4: Simplify right side
    176,563.50x = 71,024,915,025
  5. Step 5: Solve for x
    x = 71,024,915,025/176,563.50
  6. Step 6: Final answer
    x = 402,262.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.