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Finding the Third Proportional to 178,082 and 384,254

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Solution

The third proportional to 178,082 and 384,254 is: 829,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,082 : 384,254 = 384,254 : x
  2. Step 2: Convert to fraction form
    178,082/384,254 = 384,254/x
  3. Step 3: Cross multiply
    178,082x = 384,254 × 384,254
  4. Step 4: Simplify right side
    178,082x = 147,651,136,516
  5. Step 5: Solve for x
    x = 147,651,136,516/178,082
  6. Step 6: Final answer
    x = 829,118.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.