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Finding the Third Proportional to 176.75 and 202.50

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Solution

The third proportional to 176.75 and 202.50 is: 232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 202.50 = 202.50 : x
  2. Step 2: Convert to fraction form
    176.75/202.50 = 202.50/x
  3. Step 3: Cross multiply
    176.75x = 202.50 × 202.50
  4. Step 4: Simplify right side
    176.75x = 41,006.25
  5. Step 5: Solve for x
    x = 41,006.25/176.75
  6. Step 6: Final answer
    x = 232.00

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.