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Finding the Third Proportional to 252.75 and 390.19

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Solution

The third proportional to 252.75 and 390.19 is: 602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 390.19 = 390.19 : x
  2. Step 2: Convert to fraction form
    252.75/390.19 = 390.19/x
  3. Step 3: Cross multiply
    252.75x = 390.19 × 390.19
  4. Step 4: Simplify right side
    252.75x = 152,246.29
  5. Step 5: Solve for x
    x = 152,246.29/252.75
  6. Step 6: Final answer
    x = 602.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.