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Finding the Third Proportional to 160,960 and 342,710

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Solution

The third proportional to 160,960 and 342,710 is: 729,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,960 : 342,710 = 342,710 : x
  2. Step 2: Convert to fraction form
    160,960/342,710 = 342,710/x
  3. Step 3: Cross multiply
    160,960x = 342,710 × 342,710
  4. Step 4: Simplify right side
    160,960x = 117,450,144,100
  5. Step 5: Solve for x
    x = 117,450,144,100/160,960
  6. Step 6: Final answer
    x = 729,685.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.