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Finding the Third Proportional to 156,816 and 235,578.38

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Solution

The third proportional to 156,816 and 235,578.38 is: 353,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,816 : 235,578.38 = 235,578.38 : x
  2. Step 2: Convert to fraction form
    156,816/235,578.38 = 235,578.38/x
  3. Step 3: Cross multiply
    156,816x = 235,578.38 × 235,578.38
  4. Step 4: Simplify right side
    156,816x = 55,497,170,767.64
  5. Step 5: Solve for x
    x = 55,497,170,767.64/156,816
  6. Step 6: Final answer
    x = 353,899.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.