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Finding the Third Proportional to 219,429 and 298,039.50

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Solution

The third proportional to 219,429 and 298,039.50 is: 404,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,429 : 298,039.50 = 298,039.50 : x
  2. Step 2: Convert to fraction form
    219,429/298,039.50 = 298,039.50/x
  3. Step 3: Cross multiply
    219,429x = 298,039.50 × 298,039.50
  4. Step 4: Simplify right side
    219,429x = 88,827,543,560.25
  5. Step 5: Solve for x
    x = 88,827,543,560.25/219,429
  6. Step 6: Final answer
    x = 404,812.23

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.