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Finding the Third Proportional to 160,564 and 352,907

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Solution

The third proportional to 160,564 and 352,907 is: 775,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,564 : 352,907 = 352,907 : x
  2. Step 2: Convert to fraction form
    160,564/352,907 = 352,907/x
  3. Step 3: Cross multiply
    160,564x = 352,907 × 352,907
  4. Step 4: Simplify right side
    160,564x = 124,543,350,649
  5. Step 5: Solve for x
    x = 124,543,350,649/160,564
  6. Step 6: Final answer
    x = 775,661.73

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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.