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Finding the Third Proportional to 171,660 and 359,000

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Solution

The third proportional to 171,660 and 359,000 is: 750,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,660 : 359,000 = 359,000 : x
  2. Step 2: Convert to fraction form
    171,660/359,000 = 359,000/x
  3. Step 3: Cross multiply
    171,660x = 359,000 × 359,000
  4. Step 4: Simplify right side
    171,660x = 128,881,000,000
  5. Step 5: Solve for x
    x = 128,881,000,000/171,660
  6. Step 6: Final answer
    x = 750,792.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.