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Finding the Third Proportional to 127 and 325.50

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Solution

The third proportional to 127 and 325.50 is: 834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 325.50 = 325.50 : x
  2. Step 2: Convert to fraction form
    127/325.50 = 325.50/x
  3. Step 3: Cross multiply
    127x = 325.50 × 325.50
  4. Step 4: Simplify right side
    127x = 105,950.25
  5. Step 5: Solve for x
    x = 105,950.25/127
  6. Step 6: Final answer
    x = 834.25

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.