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Finding the Third Proportional to 150.17 and 325.57

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Solution

The third proportional to 150.17 and 325.57 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.17 : 325.57 = 325.57 : x
  2. Step 2: Convert to fraction form
    150.17/325.57 = 325.57/x
  3. Step 3: Cross multiply
    150.17x = 325.57 × 325.57
  4. Step 4: Simplify right side
    150.17x = 105,994.00
  5. Step 5: Solve for x
    x = 105,994.00/150.17
  6. Step 6: Final answer
    x = 705.83

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Why These Related Problems?

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