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Finding the Third Proportional to 168,962 and 358,564

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Solution

The third proportional to 168,962 and 358,564 is: 760,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,962 : 358,564 = 358,564 : x
  2. Step 2: Convert to fraction form
    168,962/358,564 = 358,564/x
  3. Step 3: Cross multiply
    168,962x = 358,564 × 358,564
  4. Step 4: Simplify right side
    168,962x = 128,568,142,096
  5. Step 5: Solve for x
    x = 128,568,142,096/168,962
  6. Step 6: Final answer
    x = 760,929.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.