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Finding the Third Proportional to 368.75 and 590.38

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Solution

The third proportional to 368.75 and 590.38 is: 945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.75 : 590.38 = 590.38 : x
  2. Step 2: Convert to fraction form
    368.75/590.38 = 590.38/x
  3. Step 3: Cross multiply
    368.75x = 590.38 × 590.38
  4. Step 4: Simplify right side
    368.75x = 348,542.64
  5. Step 5: Solve for x
    x = 348,542.64/368.75
  6. Step 6: Final answer
    x = 945.20

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.