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Finding the Third Proportional to 290 and 347.50

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Solution

The third proportional to 290 and 347.50 is: 416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290 : 347.50 = 347.50 : x
  2. Step 2: Convert to fraction form
    290/347.50 = 347.50/x
  3. Step 3: Cross multiply
    290x = 347.50 × 347.50
  4. Step 4: Simplify right side
    290x = 120,756.25
  5. Step 5: Solve for x
    x = 120,756.25/290
  6. Step 6: Final answer
    x = 416.40

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.