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Finding the Third Proportional to 193,596 and 415,217.63

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Solution

The third proportional to 193,596 and 415,217.63 is: 890,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,596 : 415,217.63 = 415,217.63 : x
  2. Step 2: Convert to fraction form
    193,596/415,217.63 = 415,217.63/x
  3. Step 3: Cross multiply
    193,596x = 415,217.63 × 415,217.63
  4. Step 4: Simplify right side
    193,596x = 172,405,676,110.64
  5. Step 5: Solve for x
    x = 172,405,676,110.64/193,596
  6. Step 6: Final answer
    x = 890,543.59

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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.