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Finding the Third Proportional to 156.25 and 226.50

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Solution

The third proportional to 156.25 and 226.50 is: 328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.25 : 226.50 = 226.50 : x
  2. Step 2: Convert to fraction form
    156.25/226.50 = 226.50/x
  3. Step 3: Cross multiply
    156.25x = 226.50 × 226.50
  4. Step 4: Simplify right side
    156.25x = 51,302.25
  5. Step 5: Solve for x
    x = 51,302.25/156.25
  6. Step 6: Final answer
    x = 328.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.