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Finding the Third Proportional to 160,236 and 239,778

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Solution

The third proportional to 160,236 and 239,778 is: 358,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,236 : 239,778 = 239,778 : x
  2. Step 2: Convert to fraction form
    160,236/239,778 = 239,778/x
  3. Step 3: Cross multiply
    160,236x = 239,778 × 239,778
  4. Step 4: Simplify right side
    160,236x = 57,493,489,284
  5. Step 5: Solve for x
    x = 57,493,489,284/160,236
  6. Step 6: Final answer
    x = 358,805.07

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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.