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Finding the Third Proportional to 193,550 and 304,149

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Solution

The third proportional to 193,550 and 304,149 is: 477,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,550 : 304,149 = 304,149 : x
  2. Step 2: Convert to fraction form
    193,550/304,149 = 304,149/x
  3. Step 3: Cross multiply
    193,550x = 304,149 × 304,149
  4. Step 4: Simplify right side
    193,550x = 92,506,614,201
  5. Step 5: Solve for x
    x = 92,506,614,201/193,550
  6. Step 6: Final answer
    x = 477,946.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.