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Finding the Third Proportional to 160,966 and 342,724

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Solution

The third proportional to 160,966 and 342,724 is: 729,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,966 : 342,724 = 342,724 : x
  2. Step 2: Convert to fraction form
    160,966/342,724 = 342,724/x
  3. Step 3: Cross multiply
    160,966x = 342,724 × 342,724
  4. Step 4: Simplify right side
    160,966x = 117,459,740,176
  5. Step 5: Solve for x
    x = 117,459,740,176/160,966
  6. Step 6: Final answer
    x = 729,717.71

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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.