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Finding the Third Proportional to 156.63 and 333.50

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Solution

The third proportional to 156.63 and 333.50 is: 710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.63 : 333.50 = 333.50 : x
  2. Step 2: Convert to fraction form
    156.63/333.50 = 333.50/x
  3. Step 3: Cross multiply
    156.63x = 333.50 × 333.50
  4. Step 4: Simplify right side
    156.63x = 111,222.25
  5. Step 5: Solve for x
    x = 111,222.25/156.63
  6. Step 6: Final answer
    x = 710.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.