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Finding the Third Proportional to 160,849 and 353,423

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Solution

The third proportional to 160,849 and 353,423 is: 776,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,849 : 353,423 = 353,423 : x
  2. Step 2: Convert to fraction form
    160,849/353,423 = 353,423/x
  3. Step 3: Cross multiply
    160,849x = 353,423 × 353,423
  4. Step 4: Simplify right side
    160,849x = 124,907,816,929
  5. Step 5: Solve for x
    x = 124,907,816,929/160,849
  6. Step 6: Final answer
    x = 776,553.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.