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Finding the Third Proportional to 168,482 and 363,076

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Solution

The third proportional to 168,482 and 363,076 is: 782,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,482 : 363,076 = 363,076 : x
  2. Step 2: Convert to fraction form
    168,482/363,076 = 363,076/x
  3. Step 3: Cross multiply
    168,482x = 363,076 × 363,076
  4. Step 4: Simplify right side
    168,482x = 131,824,181,776
  5. Step 5: Solve for x
    x = 131,824,181,776/168,482
  6. Step 6: Final answer
    x = 782,422.94

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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.