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Finding the Third Proportional to 214.50 and 328.50

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Solution

The third proportional to 214.50 and 328.50 is: 503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 328.50 = 328.50 : x
  2. Step 2: Convert to fraction form
    214.50/328.50 = 328.50/x
  3. Step 3: Cross multiply
    214.50x = 328.50 × 328.50
  4. Step 4: Simplify right side
    214.50x = 107,912.25
  5. Step 5: Solve for x
    x = 107,912.25/214.50
  6. Step 6: Final answer
    x = 503.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.