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Finding the Third Proportional to 178 and 477.50

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Solution

The third proportional to 178 and 477.50 is: 1,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178 : 477.50 = 477.50 : x
  2. Step 2: Convert to fraction form
    178/477.50 = 477.50/x
  3. Step 3: Cross multiply
    178x = 477.50 × 477.50
  4. Step 4: Simplify right side
    178x = 228,006.25
  5. Step 5: Solve for x
    x = 228,006.25/178
  6. Step 6: Final answer
    x = 1,280.93

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.