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Finding the Third Proportional to 160,776 and 343,698

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Solution

The third proportional to 160,776 and 343,698 is: 734,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,776 : 343,698 = 343,698 : x
  2. Step 2: Convert to fraction form
    160,776/343,698 = 343,698/x
  3. Step 3: Cross multiply
    160,776x = 343,698 × 343,698
  4. Step 4: Simplify right side
    160,776x = 118,128,315,204
  5. Step 5: Solve for x
    x = 118,128,315,204/160,776
  6. Step 6: Final answer
    x = 734,738.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.