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Finding the Third Proportional to 156.25 and 332.50

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Solution

The third proportional to 156.25 and 332.50 is: 707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.25 : 332.50 = 332.50 : x
  2. Step 2: Convert to fraction form
    156.25/332.50 = 332.50/x
  3. Step 3: Cross multiply
    156.25x = 332.50 × 332.50
  4. Step 4: Simplify right side
    156.25x = 110,556.25
  5. Step 5: Solve for x
    x = 110,556.25/156.25
  6. Step 6: Final answer
    x = 707.56

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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.