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Finding the Third Proportional to 178,298 and 391,590

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Solution

The third proportional to 178,298 and 391,590 is: 860,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,298 : 391,590 = 391,590 : x
  2. Step 2: Convert to fraction form
    178,298/391,590 = 391,590/x
  3. Step 3: Cross multiply
    178,298x = 391,590 × 391,590
  4. Step 4: Simplify right side
    178,298x = 153,342,728,100
  5. Step 5: Solve for x
    x = 153,342,728,100/178,298
  6. Step 6: Final answer
    x = 860,036.16

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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.