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Finding the Third Proportional to 192,964 and 411,416

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Solution

The third proportional to 192,964 and 411,416 is: 877,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,964 : 411,416 = 411,416 : x
  2. Step 2: Convert to fraction form
    192,964/411,416 = 411,416/x
  3. Step 3: Cross multiply
    192,964x = 411,416 × 411,416
  4. Step 4: Simplify right side
    192,964x = 169,263,125,056
  5. Step 5: Solve for x
    x = 169,263,125,056/192,964
  6. Step 6: Final answer
    x = 877,174.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.