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Finding the Third Proportional to 178,604 and 272,093

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Solution

The third proportional to 178,604 and 272,093 is: 414,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,604 : 272,093 = 272,093 : x
  2. Step 2: Convert to fraction form
    178,604/272,093 = 272,093/x
  3. Step 3: Cross multiply
    178,604x = 272,093 × 272,093
  4. Step 4: Simplify right side
    178,604x = 74,034,600,649
  5. Step 5: Solve for x
    x = 74,034,600,649/178,604
  6. Step 6: Final answer
    x = 414,518.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.