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Finding the Third Proportional to 212,934.50 and 329,652

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Solution

The third proportional to 212,934.50 and 329,652 is: 510,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,934.50 : 329,652 = 329,652 : x
  2. Step 2: Convert to fraction form
    212,934.50/329,652 = 329,652/x
  3. Step 3: Cross multiply
    212,934.50x = 329,652 × 329,652
  4. Step 4: Simplify right side
    212,934.50x = 108,670,441,104
  5. Step 5: Solve for x
    x = 108,670,441,104/212,934.50
  6. Step 6: Final answer
    x = 510,346.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.