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Finding the Third Proportional to 199,062 and 304,377

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Solution

The third proportional to 199,062 and 304,377 is: 465,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,062 : 304,377 = 304,377 : x
  2. Step 2: Convert to fraction form
    199,062/304,377 = 304,377/x
  3. Step 3: Cross multiply
    199,062x = 304,377 × 304,377
  4. Step 4: Simplify right side
    199,062x = 92,645,358,129
  5. Step 5: Solve for x
    x = 92,645,358,129/199,062
  6. Step 6: Final answer
    x = 465,409.56

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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.