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Finding the Third Proportional to 199,272 and 304,742

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Solution

The third proportional to 199,272 and 304,742 is: 466,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,272 : 304,742 = 304,742 : x
  2. Step 2: Convert to fraction form
    199,272/304,742 = 304,742/x
  3. Step 3: Cross multiply
    199,272x = 304,742 × 304,742
  4. Step 4: Simplify right side
    199,272x = 92,867,686,564
  5. Step 5: Solve for x
    x = 92,867,686,564/199,272
  6. Step 6: Final answer
    x = 466,034.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.