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Finding the Third Proportional to 160,353 and 350,778

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Solution

The third proportional to 160,353 and 350,778 is: 767,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,353 : 350,778 = 350,778 : x
  2. Step 2: Convert to fraction form
    160,353/350,778 = 350,778/x
  3. Step 3: Cross multiply
    160,353x = 350,778 × 350,778
  4. Step 4: Simplify right side
    160,353x = 123,045,205,284
  5. Step 5: Solve for x
    x = 123,045,205,284/160,353
  6. Step 6: Final answer
    x = 767,339.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.