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Finding the Third Proportional to 160,588 and 333,920

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Solution

The third proportional to 160,588 and 333,920 is: 694,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,588 : 333,920 = 333,920 : x
  2. Step 2: Convert to fraction form
    160,588/333,920 = 333,920/x
  3. Step 3: Cross multiply
    160,588x = 333,920 × 333,920
  4. Step 4: Simplify right side
    160,588x = 111,502,566,400
  5. Step 5: Solve for x
    x = 111,502,566,400/160,588
  6. Step 6: Final answer
    x = 694,339.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.