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Finding the Third Proportional to 168,480 and 366,484

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Solution

The third proportional to 168,480 and 366,484 is: 797,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,480 : 366,484 = 366,484 : x
  2. Step 2: Convert to fraction form
    168,480/366,484 = 366,484/x
  3. Step 3: Cross multiply
    168,480x = 366,484 × 366,484
  4. Step 4: Simplify right side
    168,480x = 134,310,522,256
  5. Step 5: Solve for x
    x = 134,310,522,256/168,480
  6. Step 6: Final answer
    x = 797,189.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.