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Finding the Third Proportional to 160,157 and 340,068

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Solution

The third proportional to 160,157 and 340,068 is: 722,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,157 : 340,068 = 340,068 : x
  2. Step 2: Convert to fraction form
    160,157/340,068 = 340,068/x
  3. Step 3: Cross multiply
    160,157x = 340,068 × 340,068
  4. Step 4: Simplify right side
    160,157x = 115,646,244,624
  5. Step 5: Solve for x
    x = 115,646,244,624/160,157
  6. Step 6: Final answer
    x = 722,080.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.