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Finding the Third Proportional to 160,962 and 342,714

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Solution

The third proportional to 160,962 and 342,714 is: 729,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,962 : 342,714 = 342,714 : x
  2. Step 2: Convert to fraction form
    160,962/342,714 = 342,714/x
  3. Step 3: Cross multiply
    160,962x = 342,714 × 342,714
  4. Step 4: Simplify right side
    160,962x = 117,452,885,796
  5. Step 5: Solve for x
    x = 117,452,885,796/160,962
  6. Step 6: Final answer
    x = 729,693.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.