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Finding the Third Proportional to 218,688.50 and 326,894

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Solution

The third proportional to 218,688.50 and 326,894 is: 488,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,688.50 : 326,894 = 326,894 : x
  2. Step 2: Convert to fraction form
    218,688.50/326,894 = 326,894/x
  3. Step 3: Cross multiply
    218,688.50x = 326,894 × 326,894
  4. Step 4: Simplify right side
    218,688.50x = 106,859,687,236
  5. Step 5: Solve for x
    x = 106,859,687,236/218,688.50
  6. Step 6: Final answer
    x = 488,638.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.