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Finding the Third Proportional to 228,916.13 and 350,178.19

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Solution

The third proportional to 228,916.13 and 350,178.19 is: 535,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,916.13 : 350,178.19 = 350,178.19 : x
  2. Step 2: Convert to fraction form
    228,916.13/350,178.19 = 350,178.19/x
  3. Step 3: Cross multiply
    228,916.13x = 350,178.19 × 350,178.19
  4. Step 4: Simplify right side
    228,916.13x = 122,624,763,000.79
  5. Step 5: Solve for x
    x = 122,624,763,000.79/228,916.13
  6. Step 6: Final answer
    x = 535,675.51

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