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Finding the Third Proportional to 339.50 and 432.50

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Solution

The third proportional to 339.50 and 432.50 is: 550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.50 : 432.50 = 432.50 : x
  2. Step 2: Convert to fraction form
    339.50/432.50 = 432.50/x
  3. Step 3: Cross multiply
    339.50x = 432.50 × 432.50
  4. Step 4: Simplify right side
    339.50x = 187,056.25
  5. Step 5: Solve for x
    x = 187,056.25/339.50
  6. Step 6: Final answer
    x = 550.98

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.