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Finding the Third Proportional to 160,492 and 339,336

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Solution

The third proportional to 160,492 and 339,336 is: 717,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,492 : 339,336 = 339,336 : x
  2. Step 2: Convert to fraction form
    160,492/339,336 = 339,336/x
  3. Step 3: Cross multiply
    160,492x = 339,336 × 339,336
  4. Step 4: Simplify right side
    160,492x = 115,148,920,896
  5. Step 5: Solve for x
    x = 115,148,920,896/160,492
  6. Step 6: Final answer
    x = 717,474.52

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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.