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Finding the Third Proportional to 160,668 and 346,158

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Solution

The third proportional to 160,668 and 346,158 is: 745,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,668 : 346,158 = 346,158 : x
  2. Step 2: Convert to fraction form
    160,668/346,158 = 346,158/x
  3. Step 3: Cross multiply
    160,668x = 346,158 × 346,158
  4. Step 4: Simplify right side
    160,668x = 119,825,360,964
  5. Step 5: Solve for x
    x = 119,825,360,964/160,668
  6. Step 6: Final answer
    x = 745,794.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.