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Finding the Third Proportional to 193,882 and 415,844

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Solution

The third proportional to 193,882 and 415,844 is: 891,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,882 : 415,844 = 415,844 : x
  2. Step 2: Convert to fraction form
    193,882/415,844 = 415,844/x
  3. Step 3: Cross multiply
    193,882x = 415,844 × 415,844
  4. Step 4: Simplify right side
    193,882x = 172,926,232,336
  5. Step 5: Solve for x
    x = 172,926,232,336/193,882
  6. Step 6: Final answer
    x = 891,914.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.