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Finding the Third Proportional to 178,318 and 371,582

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Solution

The third proportional to 178,318 and 371,582 is: 774,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,318 : 371,582 = 371,582 : x
  2. Step 2: Convert to fraction form
    178,318/371,582 = 371,582/x
  3. Step 3: Cross multiply
    178,318x = 371,582 × 371,582
  4. Step 4: Simplify right side
    178,318x = 138,073,182,724
  5. Step 5: Solve for x
    x = 138,073,182,724/178,318
  6. Step 6: Final answer
    x = 774,308.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.