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Finding the Third Proportional to 178,294 and 391,582

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Solution

The third proportional to 178,294 and 391,582 is: 860,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,294 : 391,582 = 391,582 : x
  2. Step 2: Convert to fraction form
    178,294/391,582 = 391,582/x
  3. Step 3: Cross multiply
    178,294x = 391,582 × 391,582
  4. Step 4: Simplify right side
    178,294x = 153,336,462,724
  5. Step 5: Solve for x
    x = 153,336,462,724/178,294
  6. Step 6: Final answer
    x = 860,020.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.