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Finding the Third Proportional to 193,836 and 411,158

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Solution

The third proportional to 193,836 and 411,158 is: 872,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,836 : 411,158 = 411,158 : x
  2. Step 2: Convert to fraction form
    193,836/411,158 = 411,158/x
  3. Step 3: Cross multiply
    193,836x = 411,158 × 411,158
  4. Step 4: Simplify right side
    193,836x = 169,050,900,964
  5. Step 5: Solve for x
    x = 169,050,900,964/193,836
  6. Step 6: Final answer
    x = 872,133.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.