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Finding the Third Proportional to 153 and 332.50

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Solution

The third proportional to 153 and 332.50 is: 722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153 : 332.50 = 332.50 : x
  2. Step 2: Convert to fraction form
    153/332.50 = 332.50/x
  3. Step 3: Cross multiply
    153x = 332.50 × 332.50
  4. Step 4: Simplify right side
    153x = 110,556.25
  5. Step 5: Solve for x
    x = 110,556.25/153
  6. Step 6: Final answer
    x = 722.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.