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Finding the Third Proportional to 160,716 and 339,324

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Solution

The third proportional to 160,716 and 339,324 is: 716,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,716 : 339,324 = 339,324 : x
  2. Step 2: Convert to fraction form
    160,716/339,324 = 339,324/x
  3. Step 3: Cross multiply
    160,716x = 339,324 × 339,324
  4. Step 4: Simplify right side
    160,716x = 115,140,776,976
  5. Step 5: Solve for x
    x = 115,140,776,976/160,716
  6. Step 6: Final answer
    x = 716,423.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.