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Finding the Third Proportional to 193,964 and 301,033

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Solution

The third proportional to 193,964 and 301,033 is: 467,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,964 : 301,033 = 301,033 : x
  2. Step 2: Convert to fraction form
    193,964/301,033 = 301,033/x
  3. Step 3: Cross multiply
    193,964x = 301,033 × 301,033
  4. Step 4: Simplify right side
    193,964x = 90,620,867,089
  5. Step 5: Solve for x
    x = 90,620,867,089/193,964
  6. Step 6: Final answer
    x = 467,204.57

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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.