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Finding the Third Proportional to 160,645 and 339,374

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Solution

The third proportional to 160,645 and 339,374 is: 716,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,645 : 339,374 = 339,374 : x
  2. Step 2: Convert to fraction form
    160,645/339,374 = 339,374/x
  3. Step 3: Cross multiply
    160,645x = 339,374 × 339,374
  4. Step 4: Simplify right side
    160,645x = 115,174,711,876
  5. Step 5: Solve for x
    x = 115,174,711,876/160,645
  6. Step 6: Final answer
    x = 716,951.74

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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.