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Finding the Third Proportional to 193,964 and 301,035

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Solution

The third proportional to 193,964 and 301,035 is: 467,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,964 : 301,035 = 301,035 : x
  2. Step 2: Convert to fraction form
    193,964/301,035 = 301,035/x
  3. Step 3: Cross multiply
    193,964x = 301,035 × 301,035
  4. Step 4: Simplify right side
    193,964x = 90,622,071,225
  5. Step 5: Solve for x
    x = 90,622,071,225/193,964
  6. Step 6: Final answer
    x = 467,210.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.