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Finding the Third Proportional to 178,423.50 and 260,934

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Solution

The third proportional to 178,423.50 and 260,934 is: 381,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,423.50 : 260,934 = 260,934 : x
  2. Step 2: Convert to fraction form
    178,423.50/260,934 = 260,934/x
  3. Step 3: Cross multiply
    178,423.50x = 260,934 × 260,934
  4. Step 4: Simplify right side
    178,423.50x = 68,086,552,356
  5. Step 5: Solve for x
    x = 68,086,552,356/178,423.50
  6. Step 6: Final answer
    x = 381,600.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.