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Finding the Third Proportional to 160,455 and 343,682

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Solution

The third proportional to 160,455 and 343,682 is: 736,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,455 : 343,682 = 343,682 : x
  2. Step 2: Convert to fraction form
    160,455/343,682 = 343,682/x
  3. Step 3: Cross multiply
    160,455x = 343,682 × 343,682
  4. Step 4: Simplify right side
    160,455x = 118,117,317,124
  5. Step 5: Solve for x
    x = 118,117,317,124/160,455
  6. Step 6: Final answer
    x = 736,139.83

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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.