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Finding the Third Proportional to 178,490 and 388,082

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Solution

The third proportional to 178,490 and 388,082 is: 843,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,490 : 388,082 = 388,082 : x
  2. Step 2: Convert to fraction form
    178,490/388,082 = 388,082/x
  3. Step 3: Cross multiply
    178,490x = 388,082 × 388,082
  4. Step 4: Simplify right side
    178,490x = 150,607,638,724
  5. Step 5: Solve for x
    x = 150,607,638,724/178,490
  6. Step 6: Final answer
    x = 843,787.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.