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Finding the Third Proportional to 160,832 and 343,754

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Solution

The third proportional to 160,832 and 343,754 is: 734,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,832 : 343,754 = 343,754 : x
  2. Step 2: Convert to fraction form
    160,832/343,754 = 343,754/x
  3. Step 3: Cross multiply
    160,832x = 343,754 × 343,754
  4. Step 4: Simplify right side
    160,832x = 118,166,812,516
  5. Step 5: Solve for x
    x = 118,166,812,516/160,832
  6. Step 6: Final answer
    x = 734,722.02

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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.