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Finding the Third Proportional to 218,948 and 329,988.50

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Solution

The third proportional to 218,948 and 329,988.50 is: 497,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,948 : 329,988.50 = 329,988.50 : x
  2. Step 2: Convert to fraction form
    218,948/329,988.50 = 329,988.50/x
  3. Step 3: Cross multiply
    218,948x = 329,988.50 × 329,988.50
  4. Step 4: Simplify right side
    218,948x = 108,892,410,132.25
  5. Step 5: Solve for x
    x = 108,892,410,132.25/218,948
  6. Step 6: Final answer
    x = 497,343.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.